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Finding the Third Proportional to 98,106 and 211,755

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Solution

The third proportional to 98,106 and 211,755 is: 457,058.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,106 : 211,755 = 211,755 : x
  2. Step 2: Convert to fraction form
    98,106/211,755 = 211,755/x
  3. Step 3: Cross multiply
    98,106x = 211,755 × 211,755
  4. Step 4: Simplify right side
    98,106x = 44,840,180,025
  5. Step 5: Solve for x
    x = 44,840,180,025/98,106
  6. Step 6: Final answer
    x = 457,058.49

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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.