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Finding the Third Proportional to 109,016,938.13 and 163,605,139.03

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Solution

The third proportional to 109,016,938.13 and 163,605,139.03 is: 245,527,364.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,016,938.13 : 163,605,139.03 = 163,605,139.03 : x
  2. Step 2: Convert to fraction form
    109,016,938.13/163,605,139.03 = 163,605,139.03/x
  3. Step 3: Cross multiply
    109,016,938.13x = 163,605,139.03 × 163,605,139.03
  4. Step 4: Simplify right side
    109,016,938.13x = 26,766,641,517,434,644
  5. Step 5: Solve for x
    x = 26,766,641,517,434,644/109,016,938.13
  6. Step 6: Final answer
    x = 245,527,364.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.