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Finding the Third Proportional to 103,366.13 and 164,890.69

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Solution

The third proportional to 103,366.13 and 164,890.69 is: 263,035.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,366.13 : 164,890.69 = 164,890.69 : x
  2. Step 2: Convert to fraction form
    103,366.13/164,890.69 = 164,890.69/x
  3. Step 3: Cross multiply
    103,366.13x = 164,890.69 × 164,890.69
  4. Step 4: Simplify right side
    103,366.13x = 27,188,938,824.22
  5. Step 5: Solve for x
    x = 27,188,938,824.22/103,366.13
  6. Step 6: Final answer
    x = 263,035.29

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.