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Finding the Third Proportional to 150,623,982 and 232,752,339

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Solution

The third proportional to 150,623,982 and 232,752,339 is: 359,661,526.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,623,982 : 232,752,339 = 232,752,339 : x
  2. Step 2: Convert to fraction form
    150,623,982/232,752,339 = 232,752,339/x
  3. Step 3: Cross multiply
    150,623,982x = 232,752,339 × 232,752,339
  4. Step 4: Simplify right side
    150,623,982x = 54,173,651,309,970,920
  5. Step 5: Solve for x
    x = 54,173,651,309,970,920/150,623,982
  6. Step 6: Final answer
    x = 359,661,526.61

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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.