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Finding the Third Proportional to 148,702,961 and 322,110,274

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Solution

The third proportional to 148,702,961 and 322,110,274 is: 697,733,440.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,702,961 : 322,110,274 = 322,110,274 : x
  2. Step 2: Convert to fraction form
    148,702,961/322,110,274 = 322,110,274/x
  3. Step 3: Cross multiply
    148,702,961x = 322,110,274 × 322,110,274
  4. Step 4: Simplify right side
    148,702,961x = 103,755,028,616,355,072
  5. Step 5: Solve for x
    x = 103,755,028,616,355,072/148,702,961
  6. Step 6: Final answer
    x = 697,733,440.67

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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.