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Finding the Third Proportional to 96,390 and 213,426

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Solution

The third proportional to 96,390 and 213,426 is: 472,566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,390 : 213,426 = 213,426 : x
  2. Step 2: Convert to fraction form
    96,390/213,426 = 213,426/x
  3. Step 3: Cross multiply
    96,390x = 213,426 × 213,426
  4. Step 4: Simplify right side
    96,390x = 45,550,657,476
  5. Step 5: Solve for x
    x = 45,550,657,476/96,390
  6. Step 6: Final answer
    x = 472,566.22

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.