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Finding the Third Proportional to 148,223,846 and 321,963,892

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Solution

The third proportional to 148,223,846 and 321,963,892 is: 699,352,705.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,223,846 : 321,963,892 = 321,963,892 : x
  2. Step 2: Convert to fraction form
    148,223,846/321,963,892 = 321,963,892/x
  3. Step 3: Cross multiply
    148,223,846x = 321,963,892 × 321,963,892
  4. Step 4: Simplify right side
    148,223,846x = 103,660,747,751,787,664
  5. Step 5: Solve for x
    x = 103,660,747,751,787,664/148,223,846
  6. Step 6: Final answer
    x = 699,352,705.72

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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.