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Finding the Third Proportional to 49,985.44 and 119,507.06

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Solution

The third proportional to 49,985.44 and 119,507.06 is: 285,721.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,985.44 : 119,507.06 = 119,507.06 : x
  2. Step 2: Convert to fraction form
    49,985.44/119,507.06 = 119,507.06/x
  3. Step 3: Cross multiply
    49,985.44x = 119,507.06 × 119,507.06
  4. Step 4: Simplify right side
    49,985.44x = 14,281,937,987.38
  5. Step 5: Solve for x
    x = 14,281,937,987.38/49,985.44
  6. Step 6: Final answer
    x = 285,721.98

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These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.