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Finding the Third Proportional to 105,922,992 and 228,077,070

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Solution

The third proportional to 105,922,992 and 228,077,070 is: 491,103,478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,922,992 : 228,077,070 = 228,077,070 : x
  2. Step 2: Convert to fraction form
    105,922,992/228,077,070 = 228,077,070/x
  3. Step 3: Cross multiply
    105,922,992x = 228,077,070 × 228,077,070
  4. Step 4: Simplify right side
    105,922,992x = 52,019,149,859,784,896
  5. Step 5: Solve for x
    x = 52,019,149,859,784,896/105,922,992
  6. Step 6: Final answer
    x = 491,103,478.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.