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Finding the Third Proportional to 68,200,138 and 146,103,957

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Solution

The third proportional to 68,200,138 and 146,103,957 is: 312,995,939.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,200,138 : 146,103,957 = 146,103,957 : x
  2. Step 2: Convert to fraction form
    68,200,138/146,103,957 = 146,103,957/x
  3. Step 3: Cross multiply
    68,200,138x = 146,103,957 × 146,103,957
  4. Step 4: Simplify right side
    68,200,138x = 21,346,366,251,057,848
  5. Step 5: Solve for x
    x = 21,346,366,251,057,848/68,200,138
  6. Step 6: Final answer
    x = 312,995,939.26

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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.