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Finding the Third Proportional to 91,706.63 and 216,138.75

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Solution

The third proportional to 91,706.63 and 216,138.75 is: 509,406.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,706.63 : 216,138.75 = 216,138.75 : x
  2. Step 2: Convert to fraction form
    91,706.63/216,138.75 = 216,138.75/x
  3. Step 3: Cross multiply
    91,706.63x = 216,138.75 × 216,138.75
  4. Step 4: Simplify right side
    91,706.63x = 46,715,959,251.56
  5. Step 5: Solve for x
    x = 46,715,959,251.56/91,706.63
  6. Step 6: Final answer
    x = 509,406.59

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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.