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Finding the Third Proportional to 83,321.63 and 183,319.13

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Solution

The third proportional to 83,321.63 and 183,319.13 is: 403,327.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,321.63 : 183,319.13 = 183,319.13 : x
  2. Step 2: Convert to fraction form
    83,321.63/183,319.13 = 183,319.13/x
  3. Step 3: Cross multiply
    83,321.63x = 183,319.13 × 183,319.13
  4. Step 4: Simplify right side
    83,321.63x = 33,605,901,590.77
  5. Step 5: Solve for x
    x = 33,605,901,590.77/83,321.63
  6. Step 6: Final answer
    x = 403,327.49

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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.