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Finding the Third Proportional to 197,177,418 and 306,518,877

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Solution

The third proportional to 197,177,418 and 306,518,877 is: 476,493,824.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,177,418 : 306,518,877 = 306,518,877 : x
  2. Step 2: Convert to fraction form
    197,177,418/306,518,877 = 306,518,877/x
  3. Step 3: Cross multiply
    197,177,418x = 306,518,877 × 306,518,877
  4. Step 4: Simplify right side
    197,177,418x = 93,953,821,957,341,136
  5. Step 5: Solve for x
    x = 93,953,821,957,341,136/197,177,418
  6. Step 6: Final answer
    x = 476,493,824.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.