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Finding the Third Proportional to 283,751,059.50 and 427,656,165.75

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Solution

The third proportional to 283,751,059.50 and 427,656,165.75 is: 644,543,130.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,751,059.50 : 427,656,165.75 = 427,656,165.75 : x
  2. Step 2: Convert to fraction form
    283,751,059.50/427,656,165.75 = 427,656,165.75/x
  3. Step 3: Cross multiply
    283,751,059.50x = 427,656,165.75 × 427,656,165.75
  4. Step 4: Simplify right side
    283,751,059.50x = 182,889,796,103,991,488
  5. Step 5: Solve for x
    x = 182,889,796,103,991,488/283,751,059.50
  6. Step 6: Final answer
    x = 644,543,130.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.