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Finding the Third Proportional to 109,491 and 236,071.50

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Solution

The third proportional to 109,491 and 236,071.50 is: 508,989.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,491 : 236,071.50 = 236,071.50 : x
  2. Step 2: Convert to fraction form
    109,491/236,071.50 = 236,071.50/x
  3. Step 3: Cross multiply
    109,491x = 236,071.50 × 236,071.50
  4. Step 4: Simplify right side
    109,491x = 55,729,753,112.25
  5. Step 5: Solve for x
    x = 55,729,753,112.25/109,491
  6. Step 6: Final answer
    x = 508,989.35

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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.