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Finding the Third Proportional to 181,180,635 and 277,040,349

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Solution

The third proportional to 181,180,635 and 277,040,349 is: 423,617,871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,180,635 : 277,040,349 = 277,040,349 : x
  2. Step 2: Convert to fraction form
    181,180,635/277,040,349 = 277,040,349/x
  3. Step 3: Cross multiply
    181,180,635x = 277,040,349 × 277,040,349
  4. Step 4: Simplify right side
    181,180,635x = 76,751,354,974,041,808
  5. Step 5: Solve for x
    x = 76,751,354,974,041,808/181,180,635
  6. Step 6: Final answer
    x = 423,617,871.60

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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.