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Finding the Third Proportional to 96,340.50 and 148,196.25

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Solution

The third proportional to 96,340.50 and 148,196.25 is: 227,963.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,340.50 : 148,196.25 = 148,196.25 : x
  2. Step 2: Convert to fraction form
    96,340.50/148,196.25 = 148,196.25/x
  3. Step 3: Cross multiply
    96,340.50x = 148,196.25 × 148,196.25
  4. Step 4: Simplify right side
    96,340.50x = 21,962,128,514.06
  5. Step 5: Solve for x
    x = 21,962,128,514.06/96,340.50
  6. Step 6: Final answer
    x = 227,963.61

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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.