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Finding the Third Proportional to 48,220 and 98,789

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Solution

The third proportional to 48,220 and 98,789 is: 202,390.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,220 : 98,789 = 98,789 : x
  2. Step 2: Convert to fraction form
    48,220/98,789 = 98,789/x
  3. Step 3: Cross multiply
    48,220x = 98,789 × 98,789
  4. Step 4: Simplify right side
    48,220x = 9,759,266,521
  5. Step 5: Solve for x
    x = 9,759,266,521/48,220
  6. Step 6: Final answer
    x = 202,390.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.