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Finding the Third Proportional to 201,797,701,852.50 and 283,814,965,786.50

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Solution

The third proportional to 201,797,701,852.50 and 283,814,965,786.50 is: 399,166,759,903.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,797,701,852.50 : 283,814,965,786.50 = 283,814,965,786.50 : x
  2. Step 2: Convert to fraction form
    201,797,701,852.50/283,814,965,786.50 = 283,814,965,786.50/x
  3. Step 3: Cross multiply
    201,797,701,852.50x = 283,814,965,786.50 × 283,814,965,786.50
  4. Step 4: Simplify right side
    201,797,701,852.50x = 80,550,934,804,392,159,739,904
  5. Step 5: Solve for x
    x = 80,550,934,804,392,159,739,904/201,797,701,852.50
  6. Step 6: Final answer
    x = 399,166,759,903.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.