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Finding the Third Proportional to 48,222 and 98,790

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Solution

The third proportional to 48,222 and 98,790 is: 202,386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,222 : 98,790 = 98,790 : x
  2. Step 2: Convert to fraction form
    48,222/98,790 = 98,790/x
  3. Step 3: Cross multiply
    48,222x = 98,790 × 98,790
  4. Step 4: Simplify right side
    48,222x = 9,759,464,100
  5. Step 5: Solve for x
    x = 9,759,464,100/48,222
  6. Step 6: Final answer
    x = 202,386.13

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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.