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Finding the Third Proportional to 82,282,714 and 176,948,708

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Solution

The third proportional to 82,282,714 and 176,948,708 is: 380,527,619.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,282,714 : 176,948,708 = 176,948,708 : x
  2. Step 2: Convert to fraction form
    82,282,714/176,948,708 = 176,948,708/x
  3. Step 3: Cross multiply
    82,282,714x = 176,948,708 × 176,948,708
  4. Step 4: Simplify right side
    82,282,714x = 31,310,845,262,869,264
  5. Step 5: Solve for x
    x = 31,310,845,262,869,264/82,282,714
  6. Step 6: Final answer
    x = 380,527,619.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.