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Finding the Third Proportional to 65,830.88 and 99,327.94

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Solution

The third proportional to 65,830.88 and 99,327.94 is: 149,869.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,830.88 : 99,327.94 = 99,327.94 : x
  2. Step 2: Convert to fraction form
    65,830.88/99,327.94 = 99,327.94/x
  3. Step 3: Cross multiply
    65,830.88x = 99,327.94 × 99,327.94
  4. Step 4: Simplify right side
    65,830.88x = 9,866,039,168.00
  5. Step 5: Solve for x
    x = 9,866,039,168.00/65,830.88
  6. Step 6: Final answer
    x = 149,869.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.