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Finding the Third Proportional to 98,796 and 212,598

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Solution

The third proportional to 98,796 and 212,598 is: 457,487.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,796 : 212,598 = 212,598 : x
  2. Step 2: Convert to fraction form
    98,796/212,598 = 212,598/x
  3. Step 3: Cross multiply
    98,796x = 212,598 × 212,598
  4. Step 4: Simplify right side
    98,796x = 45,197,909,604
  5. Step 5: Solve for x
    x = 45,197,909,604/98,796
  6. Step 6: Final answer
    x = 457,487.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.