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Finding the Third Proportional to 65,822.63 and 99,314.86

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Solution

The third proportional to 65,822.63 and 99,314.86 is: 149,848.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,822.63 : 99,314.86 = 99,314.86 : x
  2. Step 2: Convert to fraction form
    65,822.63/99,314.86 = 99,314.86/x
  3. Step 3: Cross multiply
    65,822.63x = 99,314.86 × 99,314.86
  4. Step 4: Simplify right side
    65,822.63x = 9,863,441,292.68
  5. Step 5: Solve for x
    x = 9,863,441,292.68/65,822.63
  6. Step 6: Final answer
    x = 149,848.80

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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.