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Finding the Third Proportional to 45,223 and 98,226.50

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Solution

The third proportional to 45,223 and 98,226.50 is: 213,352.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,223 : 98,226.50 = 98,226.50 : x
  2. Step 2: Convert to fraction form
    45,223/98,226.50 = 98,226.50/x
  3. Step 3: Cross multiply
    45,223x = 98,226.50 × 98,226.50
  4. Step 4: Simplify right side
    45,223x = 9,648,445,302.25
  5. Step 5: Solve for x
    x = 9,648,445,302.25/45,223
  6. Step 6: Final answer
    x = 213,352.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.