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Finding the Third Proportional to 153,062,721 and 326,559,906

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Solution

The third proportional to 153,062,721 and 326,559,906 is: 696,716,819.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,062,721 : 326,559,906 = 326,559,906 : x
  2. Step 2: Convert to fraction form
    153,062,721/326,559,906 = 326,559,906/x
  3. Step 3: Cross multiply
    153,062,721x = 326,559,906 × 326,559,906
  4. Step 4: Simplify right side
    153,062,721x = 106,641,372,206,728,832
  5. Step 5: Solve for x
    x = 106,641,372,206,728,832/153,062,721
  6. Step 6: Final answer
    x = 696,716,819.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.