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Finding the Third Proportional to 83,903.81 and 183,424.13

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Solution

The third proportional to 83,903.81 and 183,424.13 is: 400,987.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,903.81 : 183,424.13 = 183,424.13 : x
  2. Step 2: Convert to fraction form
    83,903.81/183,424.13 = 183,424.13/x
  3. Step 3: Cross multiply
    83,903.81x = 183,424.13 × 183,424.13
  4. Step 4: Simplify right side
    83,903.81x = 33,644,409,632.02
  5. Step 5: Solve for x
    x = 33,644,409,632.02/83,903.81
  6. Step 6: Final answer
    x = 400,987.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.