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Finding the Third Proportional to 99,774.75 and 216,771.75

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Solution

The third proportional to 99,774.75 and 216,771.75 is: 470,960.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,774.75 : 216,771.75 = 216,771.75 : x
  2. Step 2: Convert to fraction form
    99,774.75/216,771.75 = 216,771.75/x
  3. Step 3: Cross multiply
    99,774.75x = 216,771.75 × 216,771.75
  4. Step 4: Simplify right side
    99,774.75x = 46,989,991,598.06
  5. Step 5: Solve for x
    x = 46,989,991,598.06/99,774.75
  6. Step 6: Final answer
    x = 470,960.76

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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.