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Finding the Third Proportional to 49,480.88 and 104,702.63

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Solution

The third proportional to 49,480.88 and 104,702.63 is: 221,553.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,480.88 : 104,702.63 = 104,702.63 : x
  2. Step 2: Convert to fraction form
    49,480.88/104,702.63 = 104,702.63/x
  3. Step 3: Cross multiply
    49,480.88x = 104,702.63 × 104,702.63
  4. Step 4: Simplify right side
    49,480.88x = 10,962,639,681.89
  5. Step 5: Solve for x
    x = 10,962,639,681.89/49,480.88
  6. Step 6: Final answer
    x = 221,553.07

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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.