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Finding the Third Proportional to 94,321.13 and 140,200.03

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Solution

The third proportional to 94,321.13 and 140,200.03 is: 208,394.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,321.13 : 140,200.03 = 140,200.03 : x
  2. Step 2: Convert to fraction form
    94,321.13/140,200.03 = 140,200.03/x
  3. Step 3: Cross multiply
    94,321.13x = 140,200.03 × 140,200.03
  4. Step 4: Simplify right side
    94,321.13x = 19,656,048,762.50
  5. Step 5: Solve for x
    x = 19,656,048,762.50/94,321.13
  6. Step 6: Final answer
    x = 208,394.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.