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Finding the Third Proportional to 44,306 and 98,362

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Solution

The third proportional to 44,306 and 98,362 is: 218,369.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,306 : 98,362 = 98,362 : x
  2. Step 2: Convert to fraction form
    44,306/98,362 = 98,362/x
  3. Step 3: Cross multiply
    44,306x = 98,362 × 98,362
  4. Step 4: Simplify right side
    44,306x = 9,675,083,044
  5. Step 5: Solve for x
    x = 9,675,083,044/44,306
  6. Step 6: Final answer
    x = 218,369.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.