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Finding the Third Proportional to 98,020 and 213,416

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Solution

The third proportional to 98,020 and 213,416 is: 464,664.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,020 : 213,416 = 213,416 : x
  2. Step 2: Convert to fraction form
    98,020/213,416 = 213,416/x
  3. Step 3: Cross multiply
    98,020x = 213,416 × 213,416
  4. Step 4: Simplify right side
    98,020x = 45,546,389,056
  5. Step 5: Solve for x
    x = 45,546,389,056/98,020
  6. Step 6: Final answer
    x = 464,664.24

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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.