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Finding the Third Proportional to 189,826,540 and 416,123,532

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Solution

The third proportional to 189,826,540 and 416,123,532 is: 912,194,858.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,826,540 : 416,123,532 = 416,123,532 : x
  2. Step 2: Convert to fraction form
    189,826,540/416,123,532 = 416,123,532/x
  3. Step 3: Cross multiply
    189,826,540x = 416,123,532 × 416,123,532
  4. Step 4: Simplify right side
    189,826,540x = 173,158,793,884,155,008
  5. Step 5: Solve for x
    x = 173,158,793,884,155,008/189,826,540
  6. Step 6: Final answer
    x = 912,194,858.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.