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Finding the Third Proportional to 98,210 and 215,536

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Solution

The third proportional to 98,210 and 215,536 is: 473,024.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,210 : 215,536 = 215,536 : x
  2. Step 2: Convert to fraction form
    98,210/215,536 = 215,536/x
  3. Step 3: Cross multiply
    98,210x = 215,536 × 215,536
  4. Step 4: Simplify right side
    98,210x = 46,455,767,296
  5. Step 5: Solve for x
    x = 46,455,767,296/98,210
  6. Step 6: Final answer
    x = 473,024.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.