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Finding the Third Proportional to 98,060 and 211,669

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Solution

The third proportional to 98,060 and 211,669 is: 456,901.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,060 : 211,669 = 211,669 : x
  2. Step 2: Convert to fraction form
    98,060/211,669 = 211,669/x
  3. Step 3: Cross multiply
    98,060x = 211,669 × 211,669
  4. Step 4: Simplify right side
    98,060x = 44,803,765,561
  5. Step 5: Solve for x
    x = 44,803,765,561/98,060
  6. Step 6: Final answer
    x = 456,901.55

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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.