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Finding the Third Proportional to 89,754,486 and 196,593,816

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Solution

The third proportional to 89,754,486 and 196,593,816 is: 430,609,434.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,754,486 : 196,593,816 = 196,593,816 : x
  2. Step 2: Convert to fraction form
    89,754,486/196,593,816 = 196,593,816/x
  3. Step 3: Cross multiply
    89,754,486x = 196,593,816 × 196,593,816
  4. Step 4: Simplify right side
    89,754,486x = 38,649,128,489,441,856
  5. Step 5: Solve for x
    x = 38,649,128,489,441,856/89,754,486
  6. Step 6: Final answer
    x = 430,609,434.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.