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Finding the Third Proportional to 127,418,186 and 196,760,143

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Solution

The third proportional to 127,418,186 and 196,760,143 is: 303,838,526.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,418,186 : 196,760,143 = 196,760,143 : x
  2. Step 2: Convert to fraction form
    127,418,186/196,760,143 = 196,760,143/x
  3. Step 3: Cross multiply
    127,418,186x = 196,760,143 × 196,760,143
  4. Step 4: Simplify right side
    127,418,186x = 38,714,553,873,380,448
  5. Step 5: Solve for x
    x = 38,714,553,873,380,448/127,418,186
  6. Step 6: Final answer
    x = 303,838,526.42

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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.