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Finding the Third Proportional to 197,177,458.50 and 306,518,940

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Solution

The third proportional to 197,177,458.50 and 306,518,940 is: 476,493,922.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,177,458.50 : 306,518,940 = 306,518,940 : x
  2. Step 2: Convert to fraction form
    197,177,458.50/306,518,940 = 306,518,940/x
  3. Step 3: Cross multiply
    197,177,458.50x = 306,518,940 × 306,518,940
  4. Step 4: Simplify right side
    197,177,458.50x = 93,953,860,578,723,600
  5. Step 5: Solve for x
    x = 93,953,860,578,723,600/197,177,458.50
  6. Step 6: Final answer
    x = 476,493,922.24

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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.