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Finding the Third Proportional to 69,362,544 and 144,463,412

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Solution

The third proportional to 69,362,544 and 144,463,412 is: 300,878,200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,362,544 : 144,463,412 = 144,463,412 : x
  2. Step 2: Convert to fraction form
    69,362,544/144,463,412 = 144,463,412/x
  3. Step 3: Cross multiply
    69,362,544x = 144,463,412 × 144,463,412
  4. Step 4: Simplify right side
    69,362,544x = 20,869,677,406,681,744
  5. Step 5: Solve for x
    x = 20,869,677,406,681,744/69,362,544
  6. Step 6: Final answer
    x = 300,878,200.30

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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.