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Finding the Third Proportional to 150,165,549 and 232,393,131

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Solution

The third proportional to 150,165,549 and 232,393,131 is: 359,646,854.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,165,549 : 232,393,131 = 232,393,131 : x
  2. Step 2: Convert to fraction form
    150,165,549/232,393,131 = 232,393,131/x
  3. Step 3: Cross multiply
    150,165,549x = 232,393,131 × 232,393,131
  4. Step 4: Simplify right side
    150,165,549x = 54,006,567,335,983,160
  5. Step 5: Solve for x
    x = 54,006,567,335,983,160/150,165,549
  6. Step 6: Final answer
    x = 359,646,854.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.