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Finding the Third Proportional to 171,376,515 and 261,080,266.50

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Solution

The third proportional to 171,376,515 and 261,080,266.50 is: 397,737,727.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,376,515 : 261,080,266.50 = 261,080,266.50 : x
  2. Step 2: Convert to fraction form
    171,376,515/261,080,266.50 = 261,080,266.50/x
  3. Step 3: Cross multiply
    171,376,515x = 261,080,266.50 × 261,080,266.50
  4. Step 4: Simplify right side
    171,376,515x = 68,162,905,555,711,024
  5. Step 5: Solve for x
    x = 68,162,905,555,711,024/171,376,515
  6. Step 6: Final answer
    x = 397,737,727.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.