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Finding the Third Proportional to 99,795.75 and 218,088.75

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Solution

The third proportional to 99,795.75 and 218,088.75 is: 476,600.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,795.75 : 218,088.75 = 218,088.75 : x
  2. Step 2: Convert to fraction form
    99,795.75/218,088.75 = 218,088.75/x
  3. Step 3: Cross multiply
    99,795.75x = 218,088.75 × 218,088.75
  4. Step 4: Simplify right side
    99,795.75x = 47,562,702,876.56
  5. Step 5: Solve for x
    x = 47,562,702,876.56/99,795.75
  6. Step 6: Final answer
    x = 476,600.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.