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Finding the Third Proportional to 197,632,211 and 429,286,114

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Solution

The third proportional to 197,632,211 and 429,286,114 is: 932,472,326.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,632,211 : 429,286,114 = 429,286,114 : x
  2. Step 2: Convert to fraction form
    197,632,211/429,286,114 = 429,286,114/x
  3. Step 3: Cross multiply
    197,632,211x = 429,286,114 × 429,286,114
  4. Step 4: Simplify right side
    197,632,211x = 184,286,567,673,220,992
  5. Step 5: Solve for x
    x = 184,286,567,673,220,992/197,632,211
  6. Step 6: Final answer
    x = 932,472,326.96

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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.