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Finding the Third Proportional to 109,411.50 and 237,496.13

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Solution

The third proportional to 109,411.50 and 237,496.13 is: 515,525.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,411.50 : 237,496.13 = 237,496.13 : x
  2. Step 2: Convert to fraction form
    109,411.50/237,496.13 = 237,496.13/x
  3. Step 3: Cross multiply
    109,411.50x = 237,496.13 × 237,496.13
  4. Step 4: Simplify right side
    109,411.50x = 56,404,409,390.02
  5. Step 5: Solve for x
    x = 56,404,409,390.02/109,411.50
  6. Step 6: Final answer
    x = 515,525.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.