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Finding the Third Proportional to 165,114,268 and 385,569,658

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Solution

The third proportional to 165,114,268 and 385,569,658 is: 900,370,167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,114,268 : 385,569,658 = 385,569,658 : x
  2. Step 2: Convert to fraction form
    165,114,268/385,569,658 = 385,569,658/x
  3. Step 3: Cross multiply
    165,114,268x = 385,569,658 × 385,569,658
  4. Step 4: Simplify right side
    165,114,268x = 148,663,961,170,236,960
  5. Step 5: Solve for x
    x = 148,663,961,170,236,960/165,114,268
  6. Step 6: Final answer
    x = 900,370,167.71

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.