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Finding the Third Proportional to 159,287,268 and 347,528,230

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Solution

The third proportional to 159,287,268 and 347,528,230 is: 758,226,769.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,287,268 : 347,528,230 = 347,528,230 : x
  2. Step 2: Convert to fraction form
    159,287,268/347,528,230 = 347,528,230/x
  3. Step 3: Cross multiply
    159,287,268x = 347,528,230 × 347,528,230
  4. Step 4: Simplify right side
    159,287,268x = 120,775,870,646,932,896
  5. Step 5: Solve for x
    x = 120,775,870,646,932,896/159,287,268
  6. Step 6: Final answer
    x = 758,226,769.56

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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.