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Finding the Third Proportional to 100,251,109.69 and 159,519,223.13

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Solution

The third proportional to 100,251,109.69 and 159,519,223.13 is: 253,826,442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,251,109.69 : 159,519,223.13 = 159,519,223.13 : x
  2. Step 2: Convert to fraction form
    100,251,109.69/159,519,223.13 = 159,519,223.13/x
  3. Step 3: Cross multiply
    100,251,109.69x = 159,519,223.13 × 159,519,223.13
  4. Step 4: Simplify right side
    100,251,109.69x = 25,446,382,546,403,536
  5. Step 5: Solve for x
    x = 25,446,382,546,403,536/100,251,109.69
  6. Step 6: Final answer
    x = 253,826,442.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.