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Finding the Third Proportional to 191,647.69 and 420,103.13

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Solution

The third proportional to 191,647.69 and 420,103.13 is: 920,891.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,647.69 : 420,103.13 = 420,103.13 : x
  2. Step 2: Convert to fraction form
    191,647.69/420,103.13 = 420,103.13/x
  3. Step 3: Cross multiply
    191,647.69x = 420,103.13 × 420,103.13
  4. Step 4: Simplify right side
    191,647.69x = 176,486,635,634.77
  5. Step 5: Solve for x
    x = 176,486,635,634.77/191,647.69
  6. Step 6: Final answer
    x = 920,891.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.