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Finding the Third Proportional to 217,662,264 and 332,823,809

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Solution

The third proportional to 217,662,264 and 332,823,809 is: 508,915,444.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,662,264 : 332,823,809 = 332,823,809 : x
  2. Step 2: Convert to fraction form
    217,662,264/332,823,809 = 332,823,809/x
  3. Step 3: Cross multiply
    217,662,264x = 332,823,809 × 332,823,809
  4. Step 4: Simplify right side
    217,662,264x = 110,771,687,837,268,480
  5. Step 5: Solve for x
    x = 110,771,687,837,268,480/217,662,264
  6. Step 6: Final answer
    x = 508,915,444.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.