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Finding the Third Proportional to 98,066 and 211,686

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Solution

The third proportional to 98,066 and 211,686 is: 456,946.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,066 : 211,686 = 211,686 : x
  2. Step 2: Convert to fraction form
    98,066/211,686 = 211,686/x
  3. Step 3: Cross multiply
    98,066x = 211,686 × 211,686
  4. Step 4: Simplify right side
    98,066x = 44,810,962,596
  5. Step 5: Solve for x
    x = 44,810,962,596/98,066
  6. Step 6: Final answer
    x = 456,946.98

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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.