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Finding the Third Proportional to 192,868,916 and 291,096,946

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Solution

The third proportional to 192,868,916 and 291,096,946 is: 439,352,456.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,868,916 : 291,096,946 = 291,096,946 : x
  2. Step 2: Convert to fraction form
    192,868,916/291,096,946 = 291,096,946/x
  3. Step 3: Cross multiply
    192,868,916x = 291,096,946 × 291,096,946
  4. Step 4: Simplify right side
    192,868,916x = 84,737,431,970,526,912
  5. Step 5: Solve for x
    x = 84,737,431,970,526,912/192,868,916
  6. Step 6: Final answer
    x = 439,352,456.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.