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Finding the Third Proportional to 107,200.13 and 230,549.63

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Solution

The third proportional to 107,200.13 and 230,549.63 is: 495,830.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,200.13 : 230,549.63 = 230,549.63 : x
  2. Step 2: Convert to fraction form
    107,200.13/230,549.63 = 230,549.63/x
  3. Step 3: Cross multiply
    107,200.13x = 230,549.63 × 230,549.63
  4. Step 4: Simplify right side
    107,200.13x = 53,153,129,587.64
  5. Step 5: Solve for x
    x = 53,153,129,587.64/107,200.13
  6. Step 6: Final answer
    x = 495,830.85

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.