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Finding the Third Proportional to 99,765.42 and 221,674.22

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Solution

The third proportional to 99,765.42 and 221,674.22 is: 492,550.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,765.42 : 221,674.22 = 221,674.22 : x
  2. Step 2: Convert to fraction form
    99,765.42/221,674.22 = 221,674.22/x
  3. Step 3: Cross multiply
    99,765.42x = 221,674.22 × 221,674.22
  4. Step 4: Simplify right side
    99,765.42x = 49,139,459,258.42
  5. Step 5: Solve for x
    x = 49,139,459,258.42/99,765.42
  6. Step 6: Final answer
    x = 492,550.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.