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Finding the Third Proportional to 214,619,896 and 464,894,344

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Solution

The third proportional to 214,619,896 and 464,894,344 is: 1,007,021,040.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,619,896 : 464,894,344 = 464,894,344 : x
  2. Step 2: Convert to fraction form
    214,619,896/464,894,344 = 464,894,344/x
  3. Step 3: Cross multiply
    214,619,896x = 464,894,344 × 464,894,344
  4. Step 4: Simplify right side
    214,619,896x = 216,126,751,083,190,336
  5. Step 5: Solve for x
    x = 216,126,751,083,190,336/214,619,896
  6. Step 6: Final answer
    x = 1,007,021,040.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.