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Finding the Third Proportional to 38,300.34 and 89,001.28

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Solution

The third proportional to 38,300.34 and 89,001.28 is: 206,818.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,300.34 : 89,001.28 = 89,001.28 : x
  2. Step 2: Convert to fraction form
    38,300.34/89,001.28 = 89,001.28/x
  3. Step 3: Cross multiply
    38,300.34x = 89,001.28 × 89,001.28
  4. Step 4: Simplify right side
    38,300.34x = 7,921,228,064.14
  5. Step 5: Solve for x
    x = 7,921,228,064.14/38,300.34
  6. Step 6: Final answer
    x = 206,818.72

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.