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Finding the Third Proportional to 89,183,144 and 136,440,226

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Solution

The third proportional to 89,183,144 and 136,440,226 is: 208,738,270.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,183,144 : 136,440,226 = 136,440,226 : x
  2. Step 2: Convert to fraction form
    89,183,144/136,440,226 = 136,440,226/x
  3. Step 3: Cross multiply
    89,183,144x = 136,440,226 × 136,440,226
  4. Step 4: Simplify right side
    89,183,144x = 18,615,935,270,931,076
  5. Step 5: Solve for x
    x = 18,615,935,270,931,076/89,183,144
  6. Step 6: Final answer
    x = 208,738,270.89

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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.