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Finding the Third Proportional to 197,513,184 and 434,121,504

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Solution

The third proportional to 197,513,184 and 434,121,504 is: 954,171,647.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,513,184 : 434,121,504 = 434,121,504 : x
  2. Step 2: Convert to fraction form
    197,513,184/434,121,504 = 434,121,504/x
  3. Step 3: Cross multiply
    197,513,184x = 434,121,504 × 434,121,504
  4. Step 4: Simplify right side
    197,513,184x = 188,461,480,235,222,016
  5. Step 5: Solve for x
    x = 188,461,480,235,222,016/197,513,184
  6. Step 6: Final answer
    x = 954,171,647.78

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.