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Finding the Third Proportional to 98,101.69 and 211,883.63

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Solution

The third proportional to 98,101.69 and 211,883.63 is: 457,634.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,101.69 : 211,883.63 = 211,883.63 : x
  2. Step 2: Convert to fraction form
    98,101.69/211,883.63 = 211,883.63/x
  3. Step 3: Cross multiply
    98,101.69x = 211,883.63 × 211,883.63
  4. Step 4: Simplify right side
    98,101.69x = 44,894,670,543.14
  5. Step 5: Solve for x
    x = 44,894,670,543.14/98,101.69
  6. Step 6: Final answer
    x = 457,634.03

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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.