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Finding the Third Proportional to 105,922,984 and 228,077,052

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Solution

The third proportional to 105,922,984 and 228,077,052 is: 491,103,438.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,922,984 : 228,077,052 = 228,077,052 : x
  2. Step 2: Convert to fraction form
    105,922,984/228,077,052 = 228,077,052/x
  3. Step 3: Cross multiply
    105,922,984x = 228,077,052 × 228,077,052
  4. Step 4: Simplify right side
    105,922,984x = 52,019,141,649,010,704
  5. Step 5: Solve for x
    x = 52,019,141,649,010,704/105,922,984
  6. Step 6: Final answer
    x = 491,103,438.41

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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.