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Finding the Third Proportional to 146,276,833 and 200,581,077

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Solution

The third proportional to 146,276,833 and 200,581,077 is: 275,045,389.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,276,833 : 200,581,077 = 200,581,077 : x
  2. Step 2: Convert to fraction form
    146,276,833/200,581,077 = 200,581,077/x
  3. Step 3: Cross multiply
    146,276,833x = 200,581,077 × 200,581,077
  4. Step 4: Simplify right side
    146,276,833x = 40,232,768,450,479,928
  5. Step 5: Solve for x
    x = 40,232,768,450,479,928/146,276,833
  6. Step 6: Final answer
    x = 275,045,389.11

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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.