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Finding the Third Proportional to 85,182,564 and 185,289,993

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Solution

The third proportional to 85,182,564 and 185,289,993 is: 403,044,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,182,564 : 185,289,993 = 185,289,993 : x
  2. Step 2: Convert to fraction form
    85,182,564/185,289,993 = 185,289,993/x
  3. Step 3: Cross multiply
    85,182,564x = 185,289,993 × 185,289,993
  4. Step 4: Simplify right side
    85,182,564x = 34,332,381,505,940,048
  5. Step 5: Solve for x
    x = 34,332,381,505,940,048/85,182,564
  6. Step 6: Final answer
    x = 403,044,706.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.