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Finding the Third Proportional to 105,922,966 and 228,077,014

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Solution

The third proportional to 105,922,966 and 228,077,014 is: 491,103,358.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,922,966 : 228,077,014 = 228,077,014 : x
  2. Step 2: Convert to fraction form
    105,922,966/228,077,014 = 228,077,014/x
  3. Step 3: Cross multiply
    105,922,966x = 228,077,014 × 228,077,014
  4. Step 4: Simplify right side
    105,922,966x = 52,019,124,315,156,192
  5. Step 5: Solve for x
    x = 52,019,124,315,156,192/105,922,966
  6. Step 6: Final answer
    x = 491,103,358.22

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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.