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Finding the Third Proportional to 183,383,046 and 274,348,409

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Solution

The third proportional to 183,383,046 and 274,348,409 is: 410,436,248.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,383,046 : 274,348,409 = 274,348,409 : x
  2. Step 2: Convert to fraction form
    183,383,046/274,348,409 = 274,348,409/x
  3. Step 3: Cross multiply
    183,383,046x = 274,348,409 × 274,348,409
  4. Step 4: Simplify right side
    183,383,046x = 75,267,049,520,831,280
  5. Step 5: Solve for x
    x = 75,267,049,520,831,280/183,383,046
  6. Step 6: Final answer
    x = 410,436,248.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.