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Finding the Third Proportional to 150,631,098 and 232,662,150

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Solution

The third proportional to 150,631,098 and 232,662,150 is: 359,365,873.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,631,098 : 232,662,150 = 232,662,150 : x
  2. Step 2: Convert to fraction form
    150,631,098/232,662,150 = 232,662,150/x
  3. Step 3: Cross multiply
    150,631,098x = 232,662,150 × 232,662,150
  4. Step 4: Simplify right side
    150,631,098x = 54,131,676,042,622,496
  5. Step 5: Solve for x
    x = 54,131,676,042,622,496/150,631,098
  6. Step 6: Final answer
    x = 359,365,873.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.