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Finding the Third Proportional to 88,801.75 and 190,270

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Solution

The third proportional to 88,801.75 and 190,270 is: 407,679.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,801.75 : 190,270 = 190,270 : x
  2. Step 2: Convert to fraction form
    88,801.75/190,270 = 190,270/x
  3. Step 3: Cross multiply
    88,801.75x = 190,270 × 190,270
  4. Step 4: Simplify right side
    88,801.75x = 36,202,672,900
  5. Step 5: Solve for x
    x = 36,202,672,900/88,801.75
  6. Step 6: Final answer
    x = 407,679.72

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.