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Finding the Third Proportional to 96,482.25 and 148,467.38

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Solution

The third proportional to 96,482.25 and 148,467.38 is: 228,462.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,482.25 : 148,467.38 = 148,467.38 : x
  2. Step 2: Convert to fraction form
    96,482.25/148,467.38 = 148,467.38/x
  3. Step 3: Cross multiply
    96,482.25x = 148,467.38 × 148,467.38
  4. Step 4: Simplify right side
    96,482.25x = 22,042,561,439.39
  5. Step 5: Solve for x
    x = 22,042,561,439.39/96,482.25
  6. Step 6: Final answer
    x = 228,462.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.