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Finding the Third Proportional to 96,022.13 and 138,323.11

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Solution

The third proportional to 96,022.13 and 138,323.11 is: 199,259.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,022.13 : 138,323.11 = 138,323.11 : x
  2. Step 2: Convert to fraction form
    96,022.13/138,323.11 = 138,323.11/x
  3. Step 3: Cross multiply
    96,022.13x = 138,323.11 × 138,323.11
  4. Step 4: Simplify right side
    96,022.13x = 19,133,282,587.17
  5. Step 5: Solve for x
    x = 19,133,282,587.17/96,022.13
  6. Step 6: Final answer
    x = 199,259.10

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.