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Finding the Third Proportional to 100,608.19 and 207,595.13

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Solution

The third proportional to 100,608.19 and 207,595.13 is: 428,352.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,608.19 : 207,595.13 = 207,595.13 : x
  2. Step 2: Convert to fraction form
    100,608.19/207,595.13 = 207,595.13/x
  3. Step 3: Cross multiply
    100,608.19x = 207,595.13 × 207,595.13
  4. Step 4: Simplify right side
    100,608.19x = 43,095,735,923.77
  5. Step 5: Solve for x
    x = 43,095,735,923.77/100,608.19
  6. Step 6: Final answer
    x = 428,352.17

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.