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Finding the Third Proportional to 102,464,141.75 and 149,853,344.50

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Solution

The third proportional to 102,464,141.75 and 149,853,344.50 is: 219,159,839.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,464,141.75 : 149,853,344.50 = 149,853,344.50 : x
  2. Step 2: Convert to fraction form
    102,464,141.75/149,853,344.50 = 149,853,344.50/x
  3. Step 3: Cross multiply
    102,464,141.75x = 149,853,344.50 × 149,853,344.50
  4. Step 4: Simplify right side
    102,464,141.75x = 22,456,024,857,835,680
  5. Step 5: Solve for x
    x = 22,456,024,857,835,680/102,464,141.75
  6. Step 6: Final answer
    x = 219,159,839.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.