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Finding the Third Proportional to 76,982,988.52 and 159,422,781.23

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Solution

The third proportional to 76,982,988.52 and 159,422,781.23 is: 330,145,966.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,982,988.52 : 159,422,781.23 = 159,422,781.23 : x
  2. Step 2: Convert to fraction form
    76,982,988.52/159,422,781.23 = 159,422,781.23/x
  3. Step 3: Cross multiply
    76,982,988.52x = 159,422,781.23 × 159,422,781.23
  4. Step 4: Simplify right side
    76,982,988.52x = 25,415,623,176,504,988
  5. Step 5: Solve for x
    x = 25,415,623,176,504,988/76,982,988.52
  6. Step 6: Final answer
    x = 330,145,966.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.