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Finding the Third Proportional to 82,908,856.13 and 177,464,233.13

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Solution

The third proportional to 82,908,856.13 and 177,464,233.13 is: 379,857,538.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,908,856.13 : 177,464,233.13 = 177,464,233.13 : x
  2. Step 2: Convert to fraction form
    82,908,856.13/177,464,233.13 = 177,464,233.13/x
  3. Step 3: Cross multiply
    82,908,856.13x = 177,464,233.13 × 177,464,233.13
  4. Step 4: Simplify right side
    82,908,856.13x = 31,493,554,038,644,348
  5. Step 5: Solve for x
    x = 31,493,554,038,644,348/82,908,856.13
  6. Step 6: Final answer
    x = 379,857,538.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.