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Finding the Third Proportional to 105,919,734 and 228,560,136

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Solution

The third proportional to 105,919,734 and 228,560,136 is: 493,201,160.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,919,734 : 228,560,136 = 228,560,136 : x
  2. Step 2: Convert to fraction form
    105,919,734/228,560,136 = 228,560,136/x
  3. Step 3: Cross multiply
    105,919,734x = 228,560,136 × 228,560,136
  4. Step 4: Simplify right side
    105,919,734x = 52,239,735,768,338,496
  5. Step 5: Solve for x
    x = 52,239,735,768,338,496/105,919,734
  6. Step 6: Final answer
    x = 493,201,160.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.