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Finding the Third Proportional to 45,358.50 and 96,117

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Solution

The third proportional to 45,358.50 and 96,117 is: 203,676.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,358.50 : 96,117 = 96,117 : x
  2. Step 2: Convert to fraction form
    45,358.50/96,117 = 96,117/x
  3. Step 3: Cross multiply
    45,358.50x = 96,117 × 96,117
  4. Step 4: Simplify right side
    45,358.50x = 9,238,477,689
  5. Step 5: Solve for x
    x = 9,238,477,689/45,358.50
  6. Step 6: Final answer
    x = 203,676.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.