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Finding the Third Proportional to 86,324,539.50 and 180,629,842.50

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Solution

The third proportional to 86,324,539.50 and 180,629,842.50 is: 377,959,039.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,324,539.50 : 180,629,842.50 = 180,629,842.50 : x
  2. Step 2: Convert to fraction form
    86,324,539.50/180,629,842.50 = 180,629,842.50/x
  3. Step 3: Cross multiply
    86,324,539.50x = 180,629,842.50 × 180,629,842.50
  4. Step 4: Simplify right side
    86,324,539.50x = 32,627,140,001,574,808
  5. Step 5: Solve for x
    x = 32,627,140,001,574,808/86,324,539.50
  6. Step 6: Final answer
    x = 377,959,039.12

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.