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Finding the Third Proportional to 166,752,783 and 362,211,327

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Solution

The third proportional to 166,752,783 and 362,211,327 is: 786,775,746.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,752,783 : 362,211,327 = 362,211,327 : x
  2. Step 2: Convert to fraction form
    166,752,783/362,211,327 = 362,211,327/x
  3. Step 3: Cross multiply
    166,752,783x = 362,211,327 × 362,211,327
  4. Step 4: Simplify right side
    166,752,783x = 131,197,045,407,100,928
  5. Step 5: Solve for x
    x = 131,197,045,407,100,928/166,752,783
  6. Step 6: Final answer
    x = 786,775,746.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.