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Finding the Third Proportional to 229,951,145 and 344,842,275

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Solution

The third proportional to 229,951,145 and 344,842,275 is: 517,136,779.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,951,145 : 344,842,275 = 344,842,275 : x
  2. Step 2: Convert to fraction form
    229,951,145/344,842,275 = 344,842,275/x
  3. Step 3: Cross multiply
    229,951,145x = 344,842,275 × 344,842,275
  4. Step 4: Simplify right side
    229,951,145x = 118,916,194,627,175,632
  5. Step 5: Solve for x
    x = 118,916,194,627,175,632/229,951,145
  6. Step 6: Final answer
    x = 517,136,779.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.