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Finding the Third Proportional to 98,046 and 212,684

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Solution

The third proportional to 98,046 and 212,684 is: 461,359.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,046 : 212,684 = 212,684 : x
  2. Step 2: Convert to fraction form
    98,046/212,684 = 212,684/x
  3. Step 3: Cross multiply
    98,046x = 212,684 × 212,684
  4. Step 4: Simplify right side
    98,046x = 45,234,483,856
  5. Step 5: Solve for x
    x = 45,234,483,856/98,046
  6. Step 6: Final answer
    x = 461,359.81

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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.