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Finding the Third Proportional to 98,966 and 213,352

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Solution

The third proportional to 98,966 and 213,352 is: 459,946.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,966 : 213,352 = 213,352 : x
  2. Step 2: Convert to fraction form
    98,966/213,352 = 213,352/x
  3. Step 3: Cross multiply
    98,966x = 213,352 × 213,352
  4. Step 4: Simplify right side
    98,966x = 45,519,075,904
  5. Step 5: Solve for x
    x = 45,519,075,904/98,966
  6. Step 6: Final answer
    x = 459,946.61

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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.