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Finding the Third Proportional to 98,518 and 211,040

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Solution

The third proportional to 98,518 and 211,040 is: 452,078.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,518 : 211,040 = 211,040 : x
  2. Step 2: Convert to fraction form
    98,518/211,040 = 211,040/x
  3. Step 3: Cross multiply
    98,518x = 211,040 × 211,040
  4. Step 4: Simplify right side
    98,518x = 44,537,881,600
  5. Step 5: Solve for x
    x = 44,537,881,600/98,518
  6. Step 6: Final answer
    x = 452,078.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.