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Finding the Third Proportional to 192,868,824 and 291,096,844

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Solution

The third proportional to 192,868,824 and 291,096,844 is: 439,352,357.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,868,824 : 291,096,844 = 291,096,844 : x
  2. Step 2: Convert to fraction form
    192,868,824/291,096,844 = 291,096,844/x
  3. Step 3: Cross multiply
    192,868,824x = 291,096,844 × 291,096,844
  4. Step 4: Simplify right side
    192,868,824x = 84,737,372,586,760,336
  5. Step 5: Solve for x
    x = 84,737,372,586,760,336/192,868,824
  6. Step 6: Final answer
    x = 439,352,357.88

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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.