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Finding the Third Proportional to 90,461.81 and 140,590.69

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Solution

The third proportional to 90,461.81 and 140,590.69 is: 218,498.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,461.81 : 140,590.69 = 140,590.69 : x
  2. Step 2: Convert to fraction form
    90,461.81/140,590.69 = 140,590.69/x
  3. Step 3: Cross multiply
    90,461.81x = 140,590.69 × 140,590.69
  4. Step 4: Simplify right side
    90,461.81x = 19,765,741,411.72
  5. Step 5: Solve for x
    x = 19,765,741,411.72/90,461.81
  6. Step 6: Final answer
    x = 218,498.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.