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Finding the Third Proportional to 109,436.06 and 235,758.09

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Solution

The third proportional to 109,436.06 and 235,758.09 is: 507,893.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,436.06 : 235,758.09 = 235,758.09 : x
  2. Step 2: Convert to fraction form
    109,436.06/235,758.09 = 235,758.09/x
  3. Step 3: Cross multiply
    109,436.06x = 235,758.09 × 235,758.09
  4. Step 4: Simplify right side
    109,436.06x = 55,581,878,768.63
  5. Step 5: Solve for x
    x = 55,581,878,768.63/109,436.06
  6. Step 6: Final answer
    x = 507,893.63

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.