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Finding the Third Proportional to 99,784.50 and 216,792.75

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Solution

The third proportional to 99,784.50 and 216,792.75 is: 471,005.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,784.50 : 216,792.75 = 216,792.75 : x
  2. Step 2: Convert to fraction form
    99,784.50/216,792.75 = 216,792.75/x
  3. Step 3: Cross multiply
    99,784.50x = 216,792.75 × 216,792.75
  4. Step 4: Simplify right side
    99,784.50x = 46,999,096,452.56
  5. Step 5: Solve for x
    x = 46,999,096,452.56/99,784.50
  6. Step 6: Final answer
    x = 471,005.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.