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Finding the Third Proportional to 148,702,975 and 322,110,302

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Solution

The third proportional to 148,702,975 and 322,110,302 is: 697,733,496.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,702,975 : 322,110,302 = 322,110,302 : x
  2. Step 2: Convert to fraction form
    148,702,975/322,110,302 = 322,110,302/x
  3. Step 3: Cross multiply
    148,702,975x = 322,110,302 × 322,110,302
  4. Step 4: Simplify right side
    148,702,975x = 103,755,046,654,531,200
  5. Step 5: Solve for x
    x = 103,755,046,654,531,200/148,702,975
  6. Step 6: Final answer
    x = 697,733,496.28

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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.