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Finding the Third Proportional to 66,918.38 and 97,864.88

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Solution

The third proportional to 66,918.38 and 97,864.88 is: 143,122.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,918.38 : 97,864.88 = 97,864.88 : x
  2. Step 2: Convert to fraction form
    66,918.38/97,864.88 = 97,864.88/x
  3. Step 3: Cross multiply
    66,918.38x = 97,864.88 × 97,864.88
  4. Step 4: Simplify right side
    66,918.38x = 9,577,533,758.77
  5. Step 5: Solve for x
    x = 9,577,533,758.77/66,918.38
  6. Step 6: Final answer
    x = 143,122.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.