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Finding the Third Proportional to 103,048 and 217,166.25

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Solution

The third proportional to 103,048 and 217,166.25 is: 457,662.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,048 : 217,166.25 = 217,166.25 : x
  2. Step 2: Convert to fraction form
    103,048/217,166.25 = 217,166.25/x
  3. Step 3: Cross multiply
    103,048x = 217,166.25 × 217,166.25
  4. Step 4: Simplify right side
    103,048x = 47,161,180,139.06
  5. Step 5: Solve for x
    x = 47,161,180,139.06/103,048
  6. Step 6: Final answer
    x = 457,662.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.