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Finding the Third Proportional to 96,412.78 and 147,899.67

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Solution

The third proportional to 96,412.78 and 147,899.67 is: 226,881.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,412.78 : 147,899.67 = 147,899.67 : x
  2. Step 2: Convert to fraction form
    96,412.78/147,899.67 = 147,899.67/x
  3. Step 3: Cross multiply
    96,412.78x = 147,899.67 × 147,899.67
  4. Step 4: Simplify right side
    96,412.78x = 21,874,312,940.73
  5. Step 5: Solve for x
    x = 21,874,312,940.73/96,412.78
  6. Step 6: Final answer
    x = 226,881.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.