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Finding the Third Proportional to 38,246.13 and 83,296.88

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Solution

The third proportional to 38,246.13 and 83,296.88 is: 181,413.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,246.13 : 83,296.88 = 83,296.88 : x
  2. Step 2: Convert to fraction form
    38,246.13/83,296.88 = 83,296.88/x
  3. Step 3: Cross multiply
    38,246.13x = 83,296.88 × 83,296.88
  4. Step 4: Simplify right side
    38,246.13x = 6,938,369,384.77
  5. Step 5: Solve for x
    x = 6,938,369,384.77/38,246.13
  6. Step 6: Final answer
    x = 181,413.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.