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Finding the Third Proportional to 38,828.11 and 83,772.98

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Solution

The third proportional to 38,828.11 and 83,772.98 is: 180,743.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,828.11 : 83,772.98 = 83,772.98 : x
  2. Step 2: Convert to fraction form
    38,828.11/83,772.98 = 83,772.98/x
  3. Step 3: Cross multiply
    38,828.11x = 83,772.98 × 83,772.98
  4. Step 4: Simplify right side
    38,828.11x = 7,017,912,911.09
  5. Step 5: Solve for x
    x = 7,017,912,911.09/38,828.11
  6. Step 6: Final answer
    x = 180,743.10

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.