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Finding the Third Proportional to 127,418,166 and 196,760,115

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Solution

The third proportional to 127,418,166 and 196,760,115 is: 303,838,487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,418,166 : 196,760,115 = 196,760,115 : x
  2. Step 2: Convert to fraction form
    127,418,166/196,760,115 = 196,760,115/x
  3. Step 3: Cross multiply
    127,418,166x = 196,760,115 × 196,760,115
  4. Step 4: Simplify right side
    127,418,166x = 38,714,542,854,813,224
  5. Step 5: Solve for x
    x = 38,714,542,854,813,224/127,418,166
  6. Step 6: Final answer
    x = 303,838,487.64

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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.