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Finding the Third Proportional to 87,426.84 and 186,851.81

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Solution

The third proportional to 87,426.84 and 186,851.81 is: 399,346.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,426.84 : 186,851.81 = 186,851.81 : x
  2. Step 2: Convert to fraction form
    87,426.84/186,851.81 = 186,851.81/x
  3. Step 3: Cross multiply
    87,426.84x = 186,851.81 × 186,851.81
  4. Step 4: Simplify right side
    87,426.84x = 34,913,599,834.54
  5. Step 5: Solve for x
    x = 34,913,599,834.54/87,426.84
  6. Step 6: Final answer
    x = 399,346.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.