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Finding the Third Proportional to 106,357,902 and 231,350,684

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Solution

The third proportional to 106,357,902 and 231,350,684 is: 503,236,129.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,357,902 : 231,350,684 = 231,350,684 : x
  2. Step 2: Convert to fraction form
    106,357,902/231,350,684 = 231,350,684/x
  3. Step 3: Cross multiply
    106,357,902x = 231,350,684 × 231,350,684
  4. Step 4: Simplify right side
    106,357,902x = 53,523,138,987,267,856
  5. Step 5: Solve for x
    x = 53,523,138,987,267,856/106,357,902
  6. Step 6: Final answer
    x = 503,236,129.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.