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Finding the Third Proportional to 69,802,050 and 149,308,548

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Solution

The third proportional to 69,802,050 and 149,308,548 is: 319,375,183.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,802,050 : 149,308,548 = 149,308,548 : x
  2. Step 2: Convert to fraction form
    69,802,050/149,308,548 = 149,308,548/x
  3. Step 3: Cross multiply
    69,802,050x = 149,308,548 × 149,308,548
  4. Step 4: Simplify right side
    69,802,050x = 22,293,042,505,868,304
  5. Step 5: Solve for x
    x = 22,293,042,505,868,304/69,802,050
  6. Step 6: Final answer
    x = 319,375,183.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.