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Finding the Third Proportional to 148,223,844 and 321,963,888

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Solution

The third proportional to 148,223,844 and 321,963,888 is: 699,352,697.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,223,844 : 321,963,888 = 321,963,888 : x
  2. Step 2: Convert to fraction form
    148,223,844/321,963,888 = 321,963,888/x
  3. Step 3: Cross multiply
    148,223,844x = 321,963,888 × 321,963,888
  4. Step 4: Simplify right side
    148,223,844x = 103,660,745,176,076,544
  5. Step 5: Solve for x
    x = 103,660,745,176,076,544/148,223,844
  6. Step 6: Final answer
    x = 699,352,697.78

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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.