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Finding the Third Proportional to 109,720.50 and 236,091

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Solution

The third proportional to 109,720.50 and 236,091 is: 508,008.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,720.50 : 236,091 = 236,091 : x
  2. Step 2: Convert to fraction form
    109,720.50/236,091 = 236,091/x
  3. Step 3: Cross multiply
    109,720.50x = 236,091 × 236,091
  4. Step 4: Simplify right side
    109,720.50x = 55,738,960,281
  5. Step 5: Solve for x
    x = 55,738,960,281/109,720.50
  6. Step 6: Final answer
    x = 508,008.62

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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.