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Finding the Third Proportional to 69,362,542 and 144,463,407.50

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Solution

The third proportional to 69,362,542 and 144,463,407.50 is: 300,878,190.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,362,542 : 144,463,407.50 = 144,463,407.50 : x
  2. Step 2: Convert to fraction form
    69,362,542/144,463,407.50 = 144,463,407.50/x
  3. Step 3: Cross multiply
    69,362,542x = 144,463,407.50 × 144,463,407.50
  4. Step 4: Simplify right side
    69,362,542x = 20,869,676,106,511,056
  5. Step 5: Solve for x
    x = 20,869,676,106,511,056/69,362,542
  6. Step 6: Final answer
    x = 300,878,190.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.