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Finding the Third Proportional to 84,290.63 and 180,537.13

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Solution

The third proportional to 84,290.63 and 180,537.13 is: 386,681.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,290.63 : 180,537.13 = 180,537.13 : x
  2. Step 2: Convert to fraction form
    84,290.63/180,537.13 = 180,537.13/x
  3. Step 3: Cross multiply
    84,290.63x = 180,537.13 × 180,537.13
  4. Step 4: Simplify right side
    84,290.63x = 32,593,657,029.38
  5. Step 5: Solve for x
    x = 32,593,657,029.38/84,290.63
  6. Step 6: Final answer
    x = 386,681.88

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