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Finding the Third Proportional to 137,234.25 and 219,110.06

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Solution

The third proportional to 137,234.25 and 219,110.06 is: 349,834.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,234.25 : 219,110.06 = 219,110.06 : x
  2. Step 2: Convert to fraction form
    137,234.25/219,110.06 = 219,110.06/x
  3. Step 3: Cross multiply
    137,234.25x = 219,110.06 × 219,110.06
  4. Step 4: Simplify right side
    137,234.25x = 48,009,219,488.75
  5. Step 5: Solve for x
    x = 48,009,219,488.75/137,234.25
  6. Step 6: Final answer
    x = 349,834.09

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.