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Finding the Third Proportional to 102,103,474 and 153,231,028

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Solution

The third proportional to 102,103,474 and 153,231,028 is: 229,960,323.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,103,474 : 153,231,028 = 153,231,028 : x
  2. Step 2: Convert to fraction form
    102,103,474/153,231,028 = 153,231,028/x
  3. Step 3: Cross multiply
    102,103,474x = 153,231,028 × 153,231,028
  4. Step 4: Simplify right side
    102,103,474x = 23,479,747,941,936,784
  5. Step 5: Solve for x
    x = 23,479,747,941,936,784/102,103,474
  6. Step 6: Final answer
    x = 229,960,323.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.