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Finding the Third Proportional to 58,782,489.75 and 82,217,112.75

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Solution

The third proportional to 58,782,489.75 and 82,217,112.75 is: 114,994,340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,782,489.75 : 82,217,112.75 = 82,217,112.75 : x
  2. Step 2: Convert to fraction form
    58,782,489.75/82,217,112.75 = 82,217,112.75/x
  3. Step 3: Cross multiply
    58,782,489.75x = 82,217,112.75 × 82,217,112.75
  4. Step 4: Simplify right side
    58,782,489.75x = 6,759,653,628,946,213
  5. Step 5: Solve for x
    x = 6,759,653,628,946,213/58,782,489.75
  6. Step 6: Final answer
    x = 114,994,340.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.