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Finding the Third Proportional to 98,820 and 213,192

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Solution

The third proportional to 98,820 and 213,192 is: 459,935.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,820 : 213,192 = 213,192 : x
  2. Step 2: Convert to fraction form
    98,820/213,192 = 213,192/x
  3. Step 3: Cross multiply
    98,820x = 213,192 × 213,192
  4. Step 4: Simplify right side
    98,820x = 45,450,828,864
  5. Step 5: Solve for x
    x = 45,450,828,864/98,820
  6. Step 6: Final answer
    x = 459,935.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.