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Finding the Third Proportional to 148,701,858 and 322,108,068

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Solution

The third proportional to 148,701,858 and 322,108,068 is: 697,729,059.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,701,858 : 322,108,068 = 322,108,068 : x
  2. Step 2: Convert to fraction form
    148,701,858/322,108,068 = 322,108,068/x
  3. Step 3: Cross multiply
    148,701,858x = 322,108,068 × 322,108,068
  4. Step 4: Simplify right side
    148,701,858x = 103,753,607,470,692,624
  5. Step 5: Solve for x
    x = 103,753,607,470,692,624/148,701,858
  6. Step 6: Final answer
    x = 697,729,059.11

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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.