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Finding the Third Proportional to 238,686,287 and 514,099,591

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Solution

The third proportional to 238,686,287 and 514,099,591 is: 1,107,304,457.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,686,287 : 514,099,591 = 514,099,591 : x
  2. Step 2: Convert to fraction form
    238,686,287/514,099,591 = 514,099,591/x
  3. Step 3: Cross multiply
    238,686,287x = 514,099,591 × 514,099,591
  4. Step 4: Simplify right side
    238,686,287x = 264,298,389,466,367,296
  5. Step 5: Solve for x
    x = 264,298,389,466,367,296/238,686,287
  6. Step 6: Final answer
    x = 1,107,304,457.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.