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Finding the Third Proportional to 106,357,552 and 231,349,984

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Solution

The third proportional to 106,357,552 and 231,349,984 is: 503,234,740.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,357,552 : 231,349,984 = 231,349,984 : x
  2. Step 2: Convert to fraction form
    106,357,552/231,349,984 = 231,349,984/x
  3. Step 3: Cross multiply
    106,357,552x = 231,349,984 × 231,349,984
  4. Step 4: Simplify right side
    106,357,552x = 53,522,815,096,800,256
  5. Step 5: Solve for x
    x = 53,522,815,096,800,256/106,357,552
  6. Step 6: Final answer
    x = 503,234,740.65

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