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Finding the Third Proportional to 199,119.75 and 429,935.25

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Solution

The third proportional to 199,119.75 and 429,935.25 is: 928,307.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,119.75 : 429,935.25 = 429,935.25 : x
  2. Step 2: Convert to fraction form
    199,119.75/429,935.25 = 429,935.25/x
  3. Step 3: Cross multiply
    199,119.75x = 429,935.25 × 429,935.25
  4. Step 4: Simplify right side
    199,119.75x = 184,844,319,192.56
  5. Step 5: Solve for x
    x = 184,844,319,192.56/199,119.75
  6. Step 6: Final answer
    x = 928,307.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.