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Finding the Third Proportional to 45,362,493.28 and 99,542,969.30

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Solution

The third proportional to 45,362,493.28 and 99,542,969.30 is: 218,436,025.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,362,493.28 : 99,542,969.30 = 99,542,969.30 : x
  2. Step 2: Convert to fraction form
    45,362,493.28/99,542,969.30 = 99,542,969.30/x
  3. Step 3: Cross multiply
    45,362,493.28x = 99,542,969.30 × 99,542,969.30
  4. Step 4: Simplify right side
    45,362,493.28x = 9,908,802,736,438,002
  5. Step 5: Solve for x
    x = 9,908,802,736,438,002/45,362,493.28
  6. Step 6: Final answer
    x = 218,436,025.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.