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Finding the Third Proportional to 192,868,928 and 291,096,964

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Solution

The third proportional to 192,868,928 and 291,096,964 is: 439,352,483.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,868,928 : 291,096,964 = 291,096,964 : x
  2. Step 2: Convert to fraction form
    192,868,928/291,096,964 = 291,096,964/x
  3. Step 3: Cross multiply
    192,868,928x = 291,096,964 × 291,096,964
  4. Step 4: Simplify right side
    192,868,928x = 84,737,442,450,017,296
  5. Step 5: Solve for x
    x = 84,737,442,450,017,296/192,868,928
  6. Step 6: Final answer
    x = 439,352,483.21

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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.