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Finding the Third Proportional to 96,808.92 and 147,263.70

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Solution

The third proportional to 96,808.92 and 147,263.70 is: 224,014.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,808.92 : 147,263.70 = 147,263.70 : x
  2. Step 2: Convert to fraction form
    96,808.92/147,263.70 = 147,263.70/x
  3. Step 3: Cross multiply
    96,808.92x = 147,263.70 × 147,263.70
  4. Step 4: Simplify right side
    96,808.92x = 21,686,595,957.09
  5. Step 5: Solve for x
    x = 21,686,595,957.09/96,808.92
  6. Step 6: Final answer
    x = 224,014.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.