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Finding the Third Proportional to 157,414,230 and 345,819,708

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Solution

The third proportional to 157,414,230 and 345,819,708 is: 759,723,377.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,414,230 : 345,819,708 = 345,819,708 : x
  2. Step 2: Convert to fraction form
    157,414,230/345,819,708 = 345,819,708/x
  3. Step 3: Cross multiply
    157,414,230x = 345,819,708 × 345,819,708
  4. Step 4: Simplify right side
    157,414,230x = 119,591,270,441,205,264
  5. Step 5: Solve for x
    x = 119,591,270,441,205,264/157,414,230
  6. Step 6: Final answer
    x = 759,723,377.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.