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Finding the Third Proportional to 83,441,970 and 181,248,378.75

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Solution

The third proportional to 83,441,970 and 181,248,378.75 is: 393,698,456.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,441,970 : 181,248,378.75 = 181,248,378.75 : x
  2. Step 2: Convert to fraction form
    83,441,970/181,248,378.75 = 181,248,378.75/x
  3. Step 3: Cross multiply
    83,441,970x = 181,248,378.75 × 181,248,378.75
  4. Step 4: Simplify right side
    83,441,970x = 32,850,974,799,503,452
  5. Step 5: Solve for x
    x = 32,850,974,799,503,452/83,441,970
  6. Step 6: Final answer
    x = 393,698,456.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.