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Finding the Third Proportional to 65,633.06 and 99,050.91

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Solution

The third proportional to 65,633.06 and 99,050.91 is: 149,483.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,633.06 : 99,050.91 = 99,050.91 : x
  2. Step 2: Convert to fraction form
    65,633.06/99,050.91 = 99,050.91/x
  3. Step 3: Cross multiply
    65,633.06x = 99,050.91 × 99,050.91
  4. Step 4: Simplify right side
    65,633.06x = 9,811,082,028.95
  5. Step 5: Solve for x
    x = 9,811,082,028.95/65,633.06
  6. Step 6: Final answer
    x = 149,483.84

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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.