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Finding the Third Proportional to 148,692,104 and 322,096,604

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Solution

The third proportional to 148,692,104 and 322,096,604 is: 697,725,161.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,692,104 : 322,096,604 = 322,096,604 : x
  2. Step 2: Convert to fraction form
    148,692,104/322,096,604 = 322,096,604/x
  3. Step 3: Cross multiply
    148,692,104x = 322,096,604 × 322,096,604
  4. Step 4: Simplify right side
    148,692,104x = 103,746,222,308,332,816
  5. Step 5: Solve for x
    x = 103,746,222,308,332,816/148,692,104
  6. Step 6: Final answer
    x = 697,725,161.71

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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.