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Finding the Third Proportional to 192,868,932 and 291,096,970

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Solution

The third proportional to 192,868,932 and 291,096,970 is: 439,352,492.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,868,932 : 291,096,970 = 291,096,970 : x
  2. Step 2: Convert to fraction form
    192,868,932/291,096,970 = 291,096,970/x
  3. Step 3: Cross multiply
    192,868,932x = 291,096,970 × 291,096,970
  4. Step 4: Simplify right side
    192,868,932x = 84,737,445,943,180,896
  5. Step 5: Solve for x
    x = 84,737,445,943,180,896/192,868,932
  6. Step 6: Final answer
    x = 439,352,492.21

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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.