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Finding the Third Proportional to 97,007,721 and 206,714,670

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Solution

The third proportional to 97,007,721 and 206,714,670 is: 440,490,245.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,007,721 : 206,714,670 = 206,714,670 : x
  2. Step 2: Convert to fraction form
    97,007,721/206,714,670 = 206,714,670/x
  3. Step 3: Cross multiply
    97,007,721x = 206,714,670 × 206,714,670
  4. Step 4: Simplify right side
    97,007,721x = 42,730,954,793,208,896
  5. Step 5: Solve for x
    x = 42,730,954,793,208,896/97,007,721
  6. Step 6: Final answer
    x = 440,490,245.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.