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Finding the Third Proportional to 49,472.16 and 116,669.11

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Solution

The third proportional to 49,472.16 and 116,669.11 is: 275,138.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,472.16 : 116,669.11 = 116,669.11 : x
  2. Step 2: Convert to fraction form
    49,472.16/116,669.11 = 116,669.11/x
  3. Step 3: Cross multiply
    49,472.16x = 116,669.11 × 116,669.11
  4. Step 4: Simplify right side
    49,472.16x = 13,611,681,082.36
  5. Step 5: Solve for x
    x = 13,611,681,082.36/49,472.16
  6. Step 6: Final answer
    x = 275,138.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.