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Finding the Third Proportional to 91,706.50 and 216,138.25

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Solution

The third proportional to 91,706.50 and 216,138.25 is: 509,404.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,706.50 : 216,138.25 = 216,138.25 : x
  2. Step 2: Convert to fraction form
    91,706.50/216,138.25 = 216,138.25/x
  3. Step 3: Cross multiply
    91,706.50x = 216,138.25 × 216,138.25
  4. Step 4: Simplify right side
    91,706.50x = 46,715,743,113.06
  5. Step 5: Solve for x
    x = 46,715,743,113.06/91,706.50
  6. Step 6: Final answer
    x = 509,404.93

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.