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Finding the Third Proportional to 37,610.16 and 78,370.88

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Solution

The third proportional to 37,610.16 and 78,370.88 is: 163,306.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,610.16 : 78,370.88 = 78,370.88 : x
  2. Step 2: Convert to fraction form
    37,610.16/78,370.88 = 78,370.88/x
  3. Step 3: Cross multiply
    37,610.16x = 78,370.88 × 78,370.88
  4. Step 4: Simplify right side
    37,610.16x = 6,141,994,048.27
  5. Step 5: Solve for x
    x = 6,141,994,048.27/37,610.16
  6. Step 6: Final answer
    x = 163,306.79

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.