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Finding the Third Proportional to 45,349.88 and 105,899.06

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Solution

The third proportional to 45,349.88 and 105,899.06 is: 247,290.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,349.88 : 105,899.06 = 105,899.06 : x
  2. Step 2: Convert to fraction form
    45,349.88/105,899.06 = 105,899.06/x
  3. Step 3: Cross multiply
    45,349.88x = 105,899.06 × 105,899.06
  4. Step 4: Simplify right side
    45,349.88x = 11,214,611,438.38
  5. Step 5: Solve for x
    x = 11,214,611,438.38/45,349.88
  6. Step 6: Final answer
    x = 247,290.90

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.