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Finding the Third Proportional to 159,815,952 and 343,887,174

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Solution

The third proportional to 159,815,952 and 343,887,174 is: 739,966,110.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,815,952 : 343,887,174 = 343,887,174 : x
  2. Step 2: Convert to fraction form
    159,815,952/343,887,174 = 343,887,174/x
  3. Step 3: Cross multiply
    159,815,952x = 343,887,174 × 343,887,174
  4. Step 4: Simplify right side
    159,815,952x = 118,258,388,441,706,272
  5. Step 5: Solve for x
    x = 118,258,388,441,706,272/159,815,952
  6. Step 6: Final answer
    x = 739,966,110.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.