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Finding the Third Proportional to 89,183,142 and 136,440,223

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Solution

The third proportional to 89,183,142 and 136,440,223 is: 208,738,266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,183,142 : 136,440,223 = 136,440,223 : x
  2. Step 2: Convert to fraction form
    89,183,142/136,440,223 = 136,440,223/x
  3. Step 3: Cross multiply
    89,183,142x = 136,440,223 × 136,440,223
  4. Step 4: Simplify right side
    89,183,142x = 18,615,934,452,289,728
  5. Step 5: Solve for x
    x = 18,615,934,452,289,728/89,183,142
  6. Step 6: Final answer
    x = 208,738,266.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.