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Finding the Third Proportional to 215,106 and 444,022.50

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Solution

The third proportional to 215,106 and 444,022.50 is: 916,552.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,106 : 444,022.50 = 444,022.50 : x
  2. Step 2: Convert to fraction form
    215,106/444,022.50 = 444,022.50/x
  3. Step 3: Cross multiply
    215,106x = 444,022.50 × 444,022.50
  4. Step 4: Simplify right side
    215,106x = 197,155,980,506.25
  5. Step 5: Solve for x
    x = 197,155,980,506.25/215,106
  6. Step 6: Final answer
    x = 916,552.68

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.