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Finding the Third Proportional to 97,192,770 and 214,196,520

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Solution

The third proportional to 97,192,770 and 214,196,520 is: 472,053,108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,192,770 : 214,196,520 = 214,196,520 : x
  2. Step 2: Convert to fraction form
    97,192,770/214,196,520 = 214,196,520/x
  3. Step 3: Cross multiply
    97,192,770x = 214,196,520 × 214,196,520
  4. Step 4: Simplify right side
    97,192,770x = 45,880,149,180,110,400
  5. Step 5: Solve for x
    x = 45,880,149,180,110,400/97,192,770
  6. Step 6: Final answer
    x = 472,053,108.27

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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.