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Finding the Third Proportional to 94,203 and 201,750.75

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Solution

The third proportional to 94,203 and 201,750.75 is: 432,081.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,203 : 201,750.75 = 201,750.75 : x
  2. Step 2: Convert to fraction form
    94,203/201,750.75 = 201,750.75/x
  3. Step 3: Cross multiply
    94,203x = 201,750.75 × 201,750.75
  4. Step 4: Simplify right side
    94,203x = 40,703,365,125.56
  5. Step 5: Solve for x
    x = 40,703,365,125.56/94,203
  6. Step 6: Final answer
    x = 432,081.41

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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.