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Finding the Third Proportional to 183,664,192 and 399,612,160

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Solution

The third proportional to 183,664,192 and 399,612,160 is: 869,466,588.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,664,192 : 399,612,160 = 399,612,160 : x
  2. Step 2: Convert to fraction form
    183,664,192/399,612,160 = 399,612,160/x
  3. Step 3: Cross multiply
    183,664,192x = 399,612,160 × 399,612,160
  4. Step 4: Simplify right side
    183,664,192x = 159,689,878,419,865,600
  5. Step 5: Solve for x
    x = 159,689,878,419,865,600/183,664,192
  6. Step 6: Final answer
    x = 869,466,588.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.