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Finding the Third Proportional to 44,822 and 97,546

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Solution

The third proportional to 44,822 and 97,546 is: 212,289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,822 : 97,546 = 97,546 : x
  2. Step 2: Convert to fraction form
    44,822/97,546 = 97,546/x
  3. Step 3: Cross multiply
    44,822x = 97,546 × 97,546
  4. Step 4: Simplify right side
    44,822x = 9,515,222,116
  5. Step 5: Solve for x
    x = 9,515,222,116/44,822
  6. Step 6: Final answer
    x = 212,289.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.