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Finding the Third Proportional to 98,752.88 and 218,859

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Solution

The third proportional to 98,752.88 and 218,859 is: 485,041.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,752.88 : 218,859 = 218,859 : x
  2. Step 2: Convert to fraction form
    98,752.88/218,859 = 218,859/x
  3. Step 3: Cross multiply
    98,752.88x = 218,859 × 218,859
  4. Step 4: Simplify right side
    98,752.88x = 47,899,261,881
  5. Step 5: Solve for x
    x = 47,899,261,881/98,752.88
  6. Step 6: Final answer
    x = 485,041.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.