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Finding the Third Proportional to 109,084.50 and 235,395

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Solution

The third proportional to 109,084.50 and 235,395 is: 507,962.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,084.50 : 235,395 = 235,395 : x
  2. Step 2: Convert to fraction form
    109,084.50/235,395 = 235,395/x
  3. Step 3: Cross multiply
    109,084.50x = 235,395 × 235,395
  4. Step 4: Simplify right side
    109,084.50x = 55,410,806,025
  5. Step 5: Solve for x
    x = 55,410,806,025/109,084.50
  6. Step 6: Final answer
    x = 507,962.23

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.