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Finding the Third Proportional to 98,239 and 214,468

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Solution

The third proportional to 98,239 and 214,468 is: 468,210.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,239 : 214,468 = 214,468 : x
  2. Step 2: Convert to fraction form
    98,239/214,468 = 214,468/x
  3. Step 3: Cross multiply
    98,239x = 214,468 × 214,468
  4. Step 4: Simplify right side
    98,239x = 45,996,523,024
  5. Step 5: Solve for x
    x = 45,996,523,024/98,239
  6. Step 6: Final answer
    x = 468,210.42

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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.