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Finding the Third Proportional to 83,261.88 and 183,131.30

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Solution

The third proportional to 83,261.88 and 183,131.30 is: 402,790.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,261.88 : 183,131.30 = 183,131.30 : x
  2. Step 2: Convert to fraction form
    83,261.88/183,131.30 = 183,131.30/x
  3. Step 3: Cross multiply
    83,261.88x = 183,131.30 × 183,131.30
  4. Step 4: Simplify right side
    83,261.88x = 33,537,071,895.12
  5. Step 5: Solve for x
    x = 33,537,071,895.12/83,261.88
  6. Step 6: Final answer
    x = 402,790.22

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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.