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Finding the Third Proportional to 197,632,209 and 429,286,110

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Solution

The third proportional to 197,632,209 and 429,286,110 is: 932,472,319.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,632,209 : 429,286,110 = 429,286,110 : x
  2. Step 2: Convert to fraction form
    197,632,209/429,286,110 = 429,286,110/x
  3. Step 3: Cross multiply
    197,632,209x = 429,286,110 × 429,286,110
  4. Step 4: Simplify right side
    197,632,209x = 184,286,564,238,932,096
  5. Step 5: Solve for x
    x = 184,286,564,238,932,096/197,632,209
  6. Step 6: Final answer
    x = 932,472,319.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.