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Finding the Third Proportional to 109,990.13 and 129,916.13

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Solution

The third proportional to 109,990.13 and 129,916.13 is: 153,451.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,990.13 : 129,916.13 = 129,916.13 : x
  2. Step 2: Convert to fraction form
    109,990.13/129,916.13 = 129,916.13/x
  3. Step 3: Cross multiply
    109,990.13x = 129,916.13 × 129,916.13
  4. Step 4: Simplify right side
    109,990.13x = 16,878,199,535.02
  5. Step 5: Solve for x
    x = 16,878,199,535.02/109,990.13
  6. Step 6: Final answer
    x = 153,451.95

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.