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Finding the Third Proportional to 91,903.50 and 146,603.25

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Solution

The third proportional to 91,903.50 and 146,603.25 is: 233,859.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,903.50 : 146,603.25 = 146,603.25 : x
  2. Step 2: Convert to fraction form
    91,903.50/146,603.25 = 146,603.25/x
  3. Step 3: Cross multiply
    91,903.50x = 146,603.25 × 146,603.25
  4. Step 4: Simplify right side
    91,903.50x = 21,492,512,910.56
  5. Step 5: Solve for x
    x = 21,492,512,910.56/91,903.50
  6. Step 6: Final answer
    x = 233,859.57

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.