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Finding the Third Proportional to 98,134 and 211,820

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Solution

The third proportional to 98,134 and 211,820 is: 457,208.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,134 : 211,820 = 211,820 : x
  2. Step 2: Convert to fraction form
    98,134/211,820 = 211,820/x
  3. Step 3: Cross multiply
    98,134x = 211,820 × 211,820
  4. Step 4: Simplify right side
    98,134x = 44,867,712,400
  5. Step 5: Solve for x
    x = 44,867,712,400/98,134
  6. Step 6: Final answer
    x = 457,208.64

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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.