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Finding the Third Proportional to 64,648.13 and 99,847.69

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Solution

The third proportional to 64,648.13 and 99,847.69 is: 154,212.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,648.13 : 99,847.69 = 99,847.69 : x
  2. Step 2: Convert to fraction form
    64,648.13/99,847.69 = 99,847.69/x
  3. Step 3: Cross multiply
    64,648.13x = 99,847.69 × 99,847.69
  4. Step 4: Simplify right side
    64,648.13x = 9,969,560,699.10
  5. Step 5: Solve for x
    x = 9,969,560,699.10/64,648.13
  6. Step 6: Final answer
    x = 154,212.68

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.