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Finding the Third Proportional to 199,698.75 and 438,125.06

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Solution

The third proportional to 199,698.75 and 438,125.06 is: 961,215.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,698.75 : 438,125.06 = 438,125.06 : x
  2. Step 2: Convert to fraction form
    199,698.75/438,125.06 = 438,125.06/x
  3. Step 3: Cross multiply
    199,698.75x = 438,125.06 × 438,125.06
  4. Step 4: Simplify right side
    199,698.75x = 191,953,570,390.63
  5. Step 5: Solve for x
    x = 191,953,570,390.63/199,698.75
  6. Step 6: Final answer
    x = 961,215.68

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