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Finding the Third Proportional to 83,974,530,085.50 and 185,065,743,795

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Solution

The third proportional to 83,974,530,085.50 and 185,065,743,795 is: 407,853,780,086.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,974,530,085.50 : 185,065,743,795 = 185,065,743,795 : x
  2. Step 2: Convert to fraction form
    83,974,530,085.50/185,065,743,795 = 185,065,743,795/x
  3. Step 3: Cross multiply
    83,974,530,085.50x = 185,065,743,795 × 185,065,743,795
  4. Step 4: Simplify right side
    83,974,530,085.50x = 34,249,329,526,396,579,479,552
  5. Step 5: Solve for x
    x = 34,249,329,526,396,579,479,552/83,974,530,085.50
  6. Step 6: Final answer
    x = 407,853,780,086.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.