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Finding the Third Proportional to 83,437.13 and 183,894.38

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Solution

The third proportional to 83,437.13 and 183,894.38 is: 405,300.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,437.13 : 183,894.38 = 183,894.38 : x
  2. Step 2: Convert to fraction form
    83,437.13/183,894.38 = 183,894.38/x
  3. Step 3: Cross multiply
    83,437.13x = 183,894.38 × 183,894.38
  4. Step 4: Simplify right side
    83,437.13x = 33,817,141,156.64
  5. Step 5: Solve for x
    x = 33,817,141,156.64/83,437.13
  6. Step 6: Final answer
    x = 405,300.89

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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.