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Finding the Third Proportional to 107,309,948 and 232,447,172

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Solution

The third proportional to 107,309,948 and 232,447,172 is: 503,510,520.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,309,948 : 232,447,172 = 232,447,172 : x
  2. Step 2: Convert to fraction form
    107,309,948/232,447,172 = 232,447,172/x
  3. Step 3: Cross multiply
    107,309,948x = 232,447,172 × 232,447,172
  4. Step 4: Simplify right side
    107,309,948x = 54,031,687,770,797,584
  5. Step 5: Solve for x
    x = 54,031,687,770,797,584/107,309,948
  6. Step 6: Final answer
    x = 503,510,520.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.