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Finding the Third Proportional to 43,114.69 and 64,406.53

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Solution

The third proportional to 43,114.69 and 64,406.53 is: 96,213.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,114.69 : 64,406.53 = 64,406.53 : x
  2. Step 2: Convert to fraction form
    43,114.69/64,406.53 = 64,406.53/x
  3. Step 3: Cross multiply
    43,114.69x = 64,406.53 × 64,406.53
  4. Step 4: Simplify right side
    43,114.69x = 4,148,201,267.66
  5. Step 5: Solve for x
    x = 4,148,201,267.66/43,114.69
  6. Step 6: Final answer
    x = 96,213.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.