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Finding the Third Proportional to 113,285,998.69 and 174,933,403.31

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Solution

The third proportional to 113,285,998.69 and 174,933,403.31 is: 270,127,782.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,285,998.69 : 174,933,403.31 = 174,933,403.31 : x
  2. Step 2: Convert to fraction form
    113,285,998.69/174,933,403.31 = 174,933,403.31/x
  3. Step 3: Cross multiply
    113,285,998.69x = 174,933,403.31 × 174,933,403.31
  4. Step 4: Simplify right side
    113,285,998.69x = 30,601,695,594,493,784
  5. Step 5: Solve for x
    x = 30,601,695,594,493,784/113,285,998.69
  6. Step 6: Final answer
    x = 270,127,782.33

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.