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Finding the Third Proportional to 86,617,009.50 and 180,398,766

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Solution

The third proportional to 86,617,009.50 and 180,398,766 is: 375,719,676.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,617,009.50 : 180,398,766 = 180,398,766 : x
  2. Step 2: Convert to fraction form
    86,617,009.50/180,398,766 = 180,398,766/x
  3. Step 3: Cross multiply
    86,617,009.50x = 180,398,766 × 180,398,766
  4. Step 4: Simplify right side
    86,617,009.50x = 32,543,714,774,322,756
  5. Step 5: Solve for x
    x = 32,543,714,774,322,756/86,617,009.50
  6. Step 6: Final answer
    x = 375,719,676.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.