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Finding the Third Proportional to 111,469,812 and 233,103,432

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Solution

The third proportional to 111,469,812 and 233,103,432 is: 487,461,215.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,469,812 : 233,103,432 = 233,103,432 : x
  2. Step 2: Convert to fraction form
    111,469,812/233,103,432 = 233,103,432/x
  3. Step 3: Cross multiply
    111,469,812x = 233,103,432 × 233,103,432
  4. Step 4: Simplify right side
    111,469,812x = 54,337,210,010,178,624
  5. Step 5: Solve for x
    x = 54,337,210,010,178,624/111,469,812
  6. Step 6: Final answer
    x = 487,461,215.15

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.