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Finding the Third Proportional to 64,478.25 and 98,569.13

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Solution

The third proportional to 64,478.25 and 98,569.13 is: 150,684.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,478.25 : 98,569.13 = 98,569.13 : x
  2. Step 2: Convert to fraction form
    64,478.25/98,569.13 = 98,569.13/x
  3. Step 3: Cross multiply
    64,478.25x = 98,569.13 × 98,569.13
  4. Step 4: Simplify right side
    64,478.25x = 9,715,872,403.27
  5. Step 5: Solve for x
    x = 9,715,872,403.27/64,478.25
  6. Step 6: Final answer
    x = 150,684.49

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.