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Finding the Third Proportional to 148,223,864 and 321,963,924

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Solution

The third proportional to 148,223,864 and 321,963,924 is: 699,352,759.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,223,864 : 321,963,924 = 321,963,924 : x
  2. Step 2: Convert to fraction form
    148,223,864/321,963,924 = 321,963,924/x
  3. Step 3: Cross multiply
    148,223,864x = 321,963,924 × 321,963,924
  4. Step 4: Simplify right side
    148,223,864x = 103,660,768,357,477,776
  5. Step 5: Solve for x
    x = 103,660,768,357,477,776/148,223,864
  6. Step 6: Final answer
    x = 699,352,759.81

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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.