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Finding the Third Proportional to 68,199,794 and 146,127,364

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Solution

The third proportional to 68,199,794 and 146,127,364 is: 313,097,815.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,199,794 : 146,127,364 = 146,127,364 : x
  2. Step 2: Convert to fraction form
    68,199,794/146,127,364 = 146,127,364/x
  3. Step 3: Cross multiply
    68,199,794x = 146,127,364 × 146,127,364
  4. Step 4: Simplify right side
    68,199,794x = 21,353,206,509,588,496
  5. Step 5: Solve for x
    x = 21,353,206,509,588,496/68,199,794
  6. Step 6: Final answer
    x = 313,097,815.36

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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.