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Finding the Third Proportional to 96,400.55 and 208,889.65

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Solution

The third proportional to 96,400.55 and 208,889.65 is: 452,641.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,400.55 : 208,889.65 = 208,889.65 : x
  2. Step 2: Convert to fraction form
    96,400.55/208,889.65 = 208,889.65/x
  3. Step 3: Cross multiply
    96,400.55x = 208,889.65 × 208,889.65
  4. Step 4: Simplify right side
    96,400.55x = 43,634,884,306.37
  5. Step 5: Solve for x
    x = 43,634,884,306.37/96,400.55
  6. Step 6: Final answer
    x = 452,641.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.