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Finding the Third Proportional to 66,988.13 and 103,678.31

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Solution

The third proportional to 66,988.13 and 103,678.31 is: 160,464.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,988.13 : 103,678.31 = 103,678.31 : x
  2. Step 2: Convert to fraction form
    66,988.13/103,678.31 = 103,678.31/x
  3. Step 3: Cross multiply
    66,988.13x = 103,678.31 × 103,678.31
  4. Step 4: Simplify right side
    66,988.13x = 10,749,192,482.85
  5. Step 5: Solve for x
    x = 10,749,192,482.85/66,988.13
  6. Step 6: Final answer
    x = 160,464.15

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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.