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Finding the Third Proportional to 148,702,987 and 322,110,326

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Solution

The third proportional to 148,702,987 and 322,110,326 is: 697,733,543.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,702,987 : 322,110,326 = 322,110,326 : x
  2. Step 2: Convert to fraction form
    148,702,987/322,110,326 = 322,110,326/x
  3. Step 3: Cross multiply
    148,702,987x = 322,110,326 × 322,110,326
  4. Step 4: Simplify right side
    148,702,987x = 103,755,062,115,826,272
  5. Step 5: Solve for x
    x = 103,755,062,115,826,272/148,702,987
  6. Step 6: Final answer
    x = 697,733,543.95

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