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Finding the Third Proportional to 106,357,560 and 231,350,000

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Solution

The third proportional to 106,357,560 and 231,350,000 is: 503,234,772.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,357,560 : 231,350,000 = 231,350,000 : x
  2. Step 2: Convert to fraction form
    106,357,560/231,350,000 = 231,350,000/x
  3. Step 3: Cross multiply
    106,357,560x = 231,350,000 × 231,350,000
  4. Step 4: Simplify right side
    106,357,560x = 53,522,822,500,000,000
  5. Step 5: Solve for x
    x = 53,522,822,500,000,000/106,357,560
  6. Step 6: Final answer
    x = 503,234,772.40

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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.