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Finding the Third Proportional to 98,110.13 and 211,899.38

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Solution

The third proportional to 98,110.13 and 211,899.38 is: 457,662.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,110.13 : 211,899.38 = 211,899.38 : x
  2. Step 2: Convert to fraction form
    98,110.13/211,899.38 = 211,899.38/x
  3. Step 3: Cross multiply
    98,110.13x = 211,899.38 × 211,899.38
  4. Step 4: Simplify right side
    98,110.13x = 44,901,345,125.39
  5. Step 5: Solve for x
    x = 44,901,345,125.39/98,110.13
  6. Step 6: Final answer
    x = 457,662.70

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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.