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Finding the Third Proportional to 96,640.88 and 147,460.50

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Solution

The third proportional to 96,640.88 and 147,460.50 is: 225,004.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,640.88 : 147,460.50 = 147,460.50 : x
  2. Step 2: Convert to fraction form
    96,640.88/147,460.50 = 147,460.50/x
  3. Step 3: Cross multiply
    96,640.88x = 147,460.50 × 147,460.50
  4. Step 4: Simplify right side
    96,640.88x = 21,744,599,060.25
  5. Step 5: Solve for x
    x = 21,744,599,060.25/96,640.88
  6. Step 6: Final answer
    x = 225,004.16

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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.