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Finding the Third Proportional to 83,538.84 and 183,685.22

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Solution

The third proportional to 83,538.84 and 183,685.22 is: 403,887.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,538.84 : 183,685.22 = 183,685.22 : x
  2. Step 2: Convert to fraction form
    83,538.84/183,685.22 = 183,685.22/x
  3. Step 3: Cross multiply
    83,538.84x = 183,685.22 × 183,685.22
  4. Step 4: Simplify right side
    83,538.84x = 33,740,259,587.24
  5. Step 5: Solve for x
    x = 33,740,259,587.24/83,538.84
  6. Step 6: Final answer
    x = 403,887.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.