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Finding the Third Proportional to 121,014,182.25 and 260,542,990.13

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Solution

The third proportional to 121,014,182.25 and 260,542,990.13 is: 560,947,885.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,014,182.25 : 260,542,990.13 = 260,542,990.13 : x
  2. Step 2: Convert to fraction form
    121,014,182.25/260,542,990.13 = 260,542,990.13/x
  3. Step 3: Cross multiply
    121,014,182.25x = 260,542,990.13 × 260,542,990.13
  4. Step 4: Simplify right side
    121,014,182.25x = 67,882,649,703,275,848
  5. Step 5: Solve for x
    x = 67,882,649,703,275,848/121,014,182.25
  6. Step 6: Final answer
    x = 560,947,885.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.