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Finding the Third Proportional to 98,392 and 211,118

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Solution

The third proportional to 98,392 and 211,118 is: 452,992.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,392 : 211,118 = 211,118 : x
  2. Step 2: Convert to fraction form
    98,392/211,118 = 211,118/x
  3. Step 3: Cross multiply
    98,392x = 211,118 × 211,118
  4. Step 4: Simplify right side
    98,392x = 44,570,809,924
  5. Step 5: Solve for x
    x = 44,570,809,924/98,392
  6. Step 6: Final answer
    x = 452,992.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.