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Finding the Third Proportional to 148,223,850 and 321,963,900

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Solution

The third proportional to 148,223,850 and 321,963,900 is: 699,352,721.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,223,850 : 321,963,900 = 321,963,900 : x
  2. Step 2: Convert to fraction form
    148,223,850/321,963,900 = 321,963,900/x
  3. Step 3: Cross multiply
    148,223,850x = 321,963,900 × 321,963,900
  4. Step 4: Simplify right side
    148,223,850x = 103,660,752,903,210,000
  5. Step 5: Solve for x
    x = 103,660,752,903,210,000/148,223,850
  6. Step 6: Final answer
    x = 699,352,721.60

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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.