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Finding the Third Proportional to 94,016.75 and 201,155.50

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Solution

The third proportional to 94,016.75 and 201,155.50 is: 430,386.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,016.75 : 201,155.50 = 201,155.50 : x
  2. Step 2: Convert to fraction form
    94,016.75/201,155.50 = 201,155.50/x
  3. Step 3: Cross multiply
    94,016.75x = 201,155.50 × 201,155.50
  4. Step 4: Simplify right side
    94,016.75x = 40,463,535,180.25
  5. Step 5: Solve for x
    x = 40,463,535,180.25/94,016.75
  6. Step 6: Final answer
    x = 430,386.45

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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.