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Finding the Third Proportional to 234,403,172 and 344,829,432

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Solution

The third proportional to 234,403,172 and 344,829,432 is: 507,276,996.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,403,172 : 344,829,432 = 344,829,432 : x
  2. Step 2: Convert to fraction form
    234,403,172/344,829,432 = 344,829,432/x
  3. Step 3: Cross multiply
    234,403,172x = 344,829,432 × 344,829,432
  4. Step 4: Simplify right side
    234,403,172x = 118,907,337,173,442,624
  5. Step 5: Solve for x
    x = 118,907,337,173,442,624/234,403,172
  6. Step 6: Final answer
    x = 507,276,996.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.