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Finding the Third Proportional to 148,702,837.50 and 322,110,027

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Solution

The third proportional to 148,702,837.50 and 322,110,027 is: 697,732,950.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,702,837.50 : 322,110,027 = 322,110,027 : x
  2. Step 2: Convert to fraction form
    148,702,837.50/322,110,027 = 322,110,027/x
  3. Step 3: Cross multiply
    148,702,837.50x = 322,110,027 × 322,110,027
  4. Step 4: Simplify right side
    148,702,837.50x = 103,754,869,493,940,736
  5. Step 5: Solve for x
    x = 103,754,869,493,940,736/148,702,837.50
  6. Step 6: Final answer
    x = 697,732,950.08

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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.