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Finding the Third Proportional to 140,694,555 and 310,012,971

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Solution

The third proportional to 140,694,555 and 310,012,971 is: 683,097,097.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,694,555 : 310,012,971 = 310,012,971 : x
  2. Step 2: Convert to fraction form
    140,694,555/310,012,971 = 310,012,971/x
  3. Step 3: Cross multiply
    140,694,555x = 310,012,971 × 310,012,971
  4. Step 4: Simplify right side
    140,694,555x = 96,108,042,188,246,848
  5. Step 5: Solve for x
    x = 96,108,042,188,246,848/140,694,555
  6. Step 6: Final answer
    x = 683,097,097.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.