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Finding the Third Proportional to 199,752.19 and 429,150.09

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Solution

The third proportional to 199,752.19 and 429,150.09 is: 921,991.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,752.19 : 429,150.09 = 429,150.09 : x
  2. Step 2: Convert to fraction form
    199,752.19/429,150.09 = 429,150.09/x
  3. Step 3: Cross multiply
    199,752.19x = 429,150.09 × 429,150.09
  4. Step 4: Simplify right side
    199,752.19x = 184,169,802,965.63
  5. Step 5: Solve for x
    x = 184,169,802,965.63/199,752.19
  6. Step 6: Final answer
    x = 921,991.42

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.