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Finding the Third Proportional to 49,068.25 and 106,434.50

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Solution

The third proportional to 49,068.25 and 106,434.50 is: 230,868.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,068.25 : 106,434.50 = 106,434.50 : x
  2. Step 2: Convert to fraction form
    49,068.25/106,434.50 = 106,434.50/x
  3. Step 3: Cross multiply
    49,068.25x = 106,434.50 × 106,434.50
  4. Step 4: Simplify right side
    49,068.25x = 11,328,302,790.25
  5. Step 5: Solve for x
    x = 11,328,302,790.25/49,068.25
  6. Step 6: Final answer
    x = 230,868.29

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.