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Finding the Third Proportional to 66,863.92 and 97,895.46

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Solution

The third proportional to 66,863.92 and 97,895.46 is: 143,328.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,863.92 : 97,895.46 = 97,895.46 : x
  2. Step 2: Convert to fraction form
    66,863.92/97,895.46 = 97,895.46/x
  3. Step 3: Cross multiply
    66,863.92x = 97,895.46 × 97,895.46
  4. Step 4: Simplify right side
    66,863.92x = 9,583,521,272.17
  5. Step 5: Solve for x
    x = 9,583,521,272.17/66,863.92
  6. Step 6: Final answer
    x = 143,328.74

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