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Finding the Third Proportional to 124,287,165 and 186,949,650

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Solution

The third proportional to 124,287,165 and 186,949,650 is: 281,204,995.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,287,165 : 186,949,650 = 186,949,650 : x
  2. Step 2: Convert to fraction form
    124,287,165/186,949,650 = 186,949,650/x
  3. Step 3: Cross multiply
    124,287,165x = 186,949,650 × 186,949,650
  4. Step 4: Simplify right side
    124,287,165x = 34,950,171,635,122,500
  5. Step 5: Solve for x
    x = 34,950,171,635,122,500/124,287,165
  6. Step 6: Final answer
    x = 281,204,995.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.