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Finding the Third Proportional to 83,151.56 and 127,802.81

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Solution

The third proportional to 83,151.56 and 127,802.81 is: 196,431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,151.56 : 127,802.81 = 127,802.81 : x
  2. Step 2: Convert to fraction form
    83,151.56/127,802.81 = 127,802.81/x
  3. Step 3: Cross multiply
    83,151.56x = 127,802.81 × 127,802.81
  4. Step 4: Simplify right side
    83,151.56x = 16,333,558,882.91
  5. Step 5: Solve for x
    x = 16,333,558,882.91/83,151.56
  6. Step 6: Final answer
    x = 196,431.17

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.