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Finding the Third Proportional to 41,964,210 and 90,305,724

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Solution

The third proportional to 41,964,210 and 90,305,724 is: 194,335,215.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,964,210 : 90,305,724 = 90,305,724 : x
  2. Step 2: Convert to fraction form
    41,964,210/90,305,724 = 90,305,724/x
  3. Step 3: Cross multiply
    41,964,210x = 90,305,724 × 90,305,724
  4. Step 4: Simplify right side
    41,964,210x = 8,155,123,787,164,176
  5. Step 5: Solve for x
    x = 8,155,123,787,164,176/41,964,210
  6. Step 6: Final answer
    x = 194,335,215.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.