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Finding the Third Proportional to 82,278,762 and 171,367,690.50

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Solution

The third proportional to 82,278,762 and 171,367,690.50 is: 356,919,387.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,278,762 : 171,367,690.50 = 171,367,690.50 : x
  2. Step 2: Convert to fraction form
    82,278,762/171,367,690.50 = 171,367,690.50/x
  3. Step 3: Cross multiply
    82,278,762x = 171,367,690.50 × 171,367,690.50
  4. Step 4: Simplify right side
    82,278,762x = 29,366,885,347,303,792
  5. Step 5: Solve for x
    x = 29,366,885,347,303,792/82,278,762
  6. Step 6: Final answer
    x = 356,919,387.62

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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.