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Finding the Third Proportional to 89,728,532 and 191,892,342

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Solution

The third proportional to 89,728,532 and 191,892,342 is: 410,378,617.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,728,532 : 191,892,342 = 191,892,342 : x
  2. Step 2: Convert to fraction form
    89,728,532/191,892,342 = 191,892,342/x
  3. Step 3: Cross multiply
    89,728,532x = 191,892,342 × 191,892,342
  4. Step 4: Simplify right side
    89,728,532x = 36,822,670,918,244,960
  5. Step 5: Solve for x
    x = 36,822,670,918,244,960/89,728,532
  6. Step 6: Final answer
    x = 410,378,617.56

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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.