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Finding the Third Proportional to 98,520 and 213,564

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Solution

The third proportional to 98,520 and 213,564 is: 462,947.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,520 : 213,564 = 213,564 : x
  2. Step 2: Convert to fraction form
    98,520/213,564 = 213,564/x
  3. Step 3: Cross multiply
    98,520x = 213,564 × 213,564
  4. Step 4: Simplify right side
    98,520x = 45,609,582,096
  5. Step 5: Solve for x
    x = 45,609,582,096/98,520
  6. Step 6: Final answer
    x = 462,947.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.