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Finding the Third Proportional to 96,564.38 and 147,718.69

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Solution

The third proportional to 96,564.38 and 147,718.69 is: 225,971.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,564.38 : 147,718.69 = 147,718.69 : x
  2. Step 2: Convert to fraction form
    96,564.38/147,718.69 = 147,718.69/x
  3. Step 3: Cross multiply
    96,564.38x = 147,718.69 × 147,718.69
  4. Step 4: Simplify right side
    96,564.38x = 21,820,810,636.72
  5. Step 5: Solve for x
    x = 21,820,810,636.72/96,564.38
  6. Step 6: Final answer
    x = 225,971.64

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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.