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Finding the Third Proportional to 61,884,108 and 128,853,936

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Solution

The third proportional to 61,884,108 and 128,853,936 is: 268,297,263.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,884,108 : 128,853,936 = 128,853,936 : x
  2. Step 2: Convert to fraction form
    61,884,108/128,853,936 = 128,853,936/x
  3. Step 3: Cross multiply
    61,884,108x = 128,853,936 × 128,853,936
  4. Step 4: Simplify right side
    61,884,108x = 16,603,336,822,692,096
  5. Step 5: Solve for x
    x = 16,603,336,822,692,096/61,884,108
  6. Step 6: Final answer
    x = 268,297,263.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.