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Finding the Third Proportional to 98,110 and 211,900

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Solution

The third proportional to 98,110 and 211,900 is: 457,665.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,110 : 211,900 = 211,900 : x
  2. Step 2: Convert to fraction form
    98,110/211,900 = 211,900/x
  3. Step 3: Cross multiply
    98,110x = 211,900 × 211,900
  4. Step 4: Simplify right side
    98,110x = 44,901,610,000
  5. Step 5: Solve for x
    x = 44,901,610,000/98,110
  6. Step 6: Final answer
    x = 457,665.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.