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Finding the Third Proportional to 67,319.16 and 99,678.94

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Solution

The third proportional to 67,319.16 and 99,678.94 is: 147,593.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,319.16 : 99,678.94 = 99,678.94 : x
  2. Step 2: Convert to fraction form
    67,319.16/99,678.94 = 99,678.94/x
  3. Step 3: Cross multiply
    67,319.16x = 99,678.94 × 99,678.94
  4. Step 4: Simplify right side
    67,319.16x = 9,935,890,581.13
  5. Step 5: Solve for x
    x = 9,935,890,581.13/67,319.16
  6. Step 6: Final answer
    x = 147,593.81

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.