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Finding the Third Proportional to 199,675.13 and 436,195.13

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Solution

The third proportional to 199,675.13 and 436,195.13 is: 952,878.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,675.13 : 436,195.13 = 436,195.13 : x
  2. Step 2: Convert to fraction form
    199,675.13/436,195.13 = 436,195.13/x
  3. Step 3: Cross multiply
    199,675.13x = 436,195.13 × 436,195.13
  4. Step 4: Simplify right side
    199,675.13x = 190,266,187,073.77
  5. Step 5: Solve for x
    x = 190,266,187,073.77/199,675.13
  6. Step 6: Final answer
    x = 952,878.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.