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Finding the Third Proportional to 151,666,499 and 326,762,149

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Solution

The third proportional to 151,666,499 and 326,762,149 is: 704,001,890.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,666,499 : 326,762,149 = 326,762,149 : x
  2. Step 2: Convert to fraction form
    151,666,499/326,762,149 = 326,762,149/x
  3. Step 3: Cross multiply
    151,666,499x = 326,762,149 × 326,762,149
  4. Step 4: Simplify right side
    151,666,499x = 106,773,502,019,098,208
  5. Step 5: Solve for x
    x = 106,773,502,019,098,208/151,666,499
  6. Step 6: Final answer
    x = 704,001,890.48

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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.