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Finding the Third Proportional to 43,728,003 and 101,232,463.50

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Solution

The third proportional to 43,728,003 and 101,232,463.50 is: 234,358,099.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,728,003 : 101,232,463.50 = 101,232,463.50 : x
  2. Step 2: Convert to fraction form
    43,728,003/101,232,463.50 = 101,232,463.50/x
  3. Step 3: Cross multiply
    43,728,003x = 101,232,463.50 × 101,232,463.50
  4. Step 4: Simplify right side
    43,728,003x = 10,248,011,666,278,832
  5. Step 5: Solve for x
    x = 10,248,011,666,278,832/43,728,003
  6. Step 6: Final answer
    x = 234,358,099.23

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.