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Finding the Third Proportional to 105,922,982 and 228,077,048

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Solution

The third proportional to 105,922,982 and 228,077,048 is: 491,103,430.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,922,982 : 228,077,048 = 228,077,048 : x
  2. Step 2: Convert to fraction form
    105,922,982/228,077,048 = 228,077,048/x
  3. Step 3: Cross multiply
    105,922,982x = 228,077,048 × 228,077,048
  4. Step 4: Simplify right side
    105,922,982x = 52,019,139,824,394,304
  5. Step 5: Solve for x
    x = 52,019,139,824,394,304/105,922,982
  6. Step 6: Final answer
    x = 491,103,430.46

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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.