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Finding the Third Proportional to 111,440,205 and 234,160,794

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Solution

The third proportional to 111,440,205 and 234,160,794 is: 492,024,197.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,440,205 : 234,160,794 = 234,160,794 : x
  2. Step 2: Convert to fraction form
    111,440,205/234,160,794 = 234,160,794/x
  3. Step 3: Cross multiply
    111,440,205x = 234,160,794 × 234,160,794
  4. Step 4: Simplify right side
    111,440,205x = 54,831,277,446,710,432
  5. Step 5: Solve for x
    x = 54,831,277,446,710,432/111,440,205
  6. Step 6: Final answer
    x = 492,024,197.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.