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Finding the Third Proportional to 105,633,136 and 223,983,916

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Solution

The third proportional to 105,633,136 and 223,983,916 is: 474,934,253.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,633,136 : 223,983,916 = 223,983,916 : x
  2. Step 2: Convert to fraction form
    105,633,136/223,983,916 = 223,983,916/x
  3. Step 3: Cross multiply
    105,633,136x = 223,983,916 × 223,983,916
  4. Step 4: Simplify right side
    105,633,136x = 50,168,794,626,695,056
  5. Step 5: Solve for x
    x = 50,168,794,626,695,056/105,633,136
  6. Step 6: Final answer
    x = 474,934,253.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.