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Finding the Third Proportional to 49,916,829 and 109,020,093

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Solution

The third proportional to 49,916,829 and 109,020,093 is: 238,103,679.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,916,829 : 109,020,093 = 109,020,093 : x
  2. Step 2: Convert to fraction form
    49,916,829/109,020,093 = 109,020,093/x
  3. Step 3: Cross multiply
    49,916,829x = 109,020,093 × 109,020,093
  4. Step 4: Simplify right side
    49,916,829x = 11,885,380,677,728,648
  5. Step 5: Solve for x
    x = 11,885,380,677,728,648/49,916,829
  6. Step 6: Final answer
    x = 238,103,679.98

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.