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Finding the Third Proportional to 105,922,969 and 228,077,021

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Solution

The third proportional to 105,922,969 and 228,077,021 is: 491,103,374.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,922,969 : 228,077,021 = 228,077,021 : x
  2. Step 2: Convert to fraction form
    105,922,969/228,077,021 = 228,077,021/x
  3. Step 3: Cross multiply
    105,922,969x = 228,077,021 × 228,077,021
  4. Step 4: Simplify right side
    105,922,969x = 52,019,127,508,234,440
  5. Step 5: Solve for x
    x = 52,019,127,508,234,440/105,922,969
  6. Step 6: Final answer
    x = 491,103,374.46

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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.