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Finding the Third Proportional to 230,171,448 and 351,002,070

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Solution

The third proportional to 230,171,448 and 351,002,070 is: 535,263,840.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,171,448 : 351,002,070 = 351,002,070 : x
  2. Step 2: Convert to fraction form
    230,171,448/351,002,070 = 351,002,070/x
  3. Step 3: Cross multiply
    230,171,448x = 351,002,070 × 351,002,070
  4. Step 4: Simplify right side
    230,171,448x = 123,202,453,144,284,896
  5. Step 5: Solve for x
    x = 123,202,453,144,284,896/230,171,448
  6. Step 6: Final answer
    x = 535,263,840.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.