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Finding the Third Proportional to 96,561.49 and 209,746.65

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Solution

The third proportional to 96,561.49 and 209,746.65 is: 455,602.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,561.49 : 209,746.65 = 209,746.65 : x
  2. Step 2: Convert to fraction form
    96,561.49/209,746.65 = 209,746.65/x
  3. Step 3: Cross multiply
    96,561.49x = 209,746.65 × 209,746.65
  4. Step 4: Simplify right side
    96,561.49x = 43,993,658,169.41
  5. Step 5: Solve for x
    x = 43,993,658,169.41/96,561.49
  6. Step 6: Final answer
    x = 455,602.51

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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.