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Finding the Third Proportional to 105,922,968 and 228,077,019

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Solution

The third proportional to 105,922,968 and 228,077,019 is: 491,103,370.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,922,968 : 228,077,019 = 228,077,019 : x
  2. Step 2: Convert to fraction form
    105,922,968/228,077,019 = 228,077,019/x
  3. Step 3: Cross multiply
    105,922,968x = 228,077,019 × 228,077,019
  4. Step 4: Simplify right side
    105,922,968x = 52,019,126,595,926,360
  5. Step 5: Solve for x
    x = 52,019,126,595,926,360/105,922,968
  6. Step 6: Final answer
    x = 491,103,370.48

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Why These Related Problems?

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