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Finding the Third Proportional to 97,213,308 and 229,481,171

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Solution

The third proportional to 97,213,308 and 229,481,171 is: 541,711,921.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,213,308 : 229,481,171 = 229,481,171 : x
  2. Step 2: Convert to fraction form
    97,213,308/229,481,171 = 229,481,171/x
  3. Step 3: Cross multiply
    97,213,308x = 229,481,171 × 229,481,171
  4. Step 4: Simplify right side
    97,213,308x = 52,661,607,843,531,240
  5. Step 5: Solve for x
    x = 52,661,607,843,531,240/97,213,308
  6. Step 6: Final answer
    x = 541,711,921.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.