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Finding the Third Proportional to 146,276,833.50 and 200,581,077.75

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Solution

The third proportional to 146,276,833.50 and 200,581,077.75 is: 275,045,390.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,276,833.50 : 200,581,077.75 = 200,581,077.75 : x
  2. Step 2: Convert to fraction form
    146,276,833.50/200,581,077.75 = 200,581,077.75/x
  3. Step 3: Cross multiply
    146,276,833.50x = 200,581,077.75 × 200,581,077.75
  4. Step 4: Simplify right side
    146,276,833.50x = 40,232,768,751,351,544
  5. Step 5: Solve for x
    x = 40,232,768,751,351,544/146,276,833.50
  6. Step 6: Final answer
    x = 275,045,390.23

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.