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Finding the Third Proportional to 42,080.13 and 92,208.38

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Solution

The third proportional to 42,080.13 and 92,208.38 is: 202,052.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,080.13 : 92,208.38 = 92,208.38 : x
  2. Step 2: Convert to fraction form
    42,080.13/92,208.38 = 92,208.38/x
  3. Step 3: Cross multiply
    42,080.13x = 92,208.38 × 92,208.38
  4. Step 4: Simplify right side
    42,080.13x = 8,502,384,420.14
  5. Step 5: Solve for x
    x = 8,502,384,420.14/42,080.13
  6. Step 6: Final answer
    x = 202,052.22

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