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Finding the Third Proportional to 109,177 and 238,719.88

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Solution

The third proportional to 109,177 and 238,719.88 is: 521,970.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,177 : 238,719.88 = 238,719.88 : x
  2. Step 2: Convert to fraction form
    109,177/238,719.88 = 238,719.88/x
  3. Step 3: Cross multiply
    109,177x = 238,719.88 × 238,719.88
  4. Step 4: Simplify right side
    109,177x = 56,987,178,720.02
  5. Step 5: Solve for x
    x = 56,987,178,720.02/109,177
  6. Step 6: Final answer
    x = 521,970.55

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.