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Finding the Third Proportional to 82,278,765 and 171,367,693.50

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Solution

The third proportional to 82,278,765 and 171,367,693.50 is: 356,919,387.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,278,765 : 171,367,693.50 = 171,367,693.50 : x
  2. Step 2: Convert to fraction form
    82,278,765/171,367,693.50 = 171,367,693.50/x
  3. Step 3: Cross multiply
    82,278,765x = 171,367,693.50 × 171,367,693.50
  4. Step 4: Simplify right side
    82,278,765x = 29,366,886,375,509,944
  5. Step 5: Solve for x
    x = 29,366,886,375,509,944/82,278,765
  6. Step 6: Final answer
    x = 356,919,387.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.