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Finding the Third Proportional to 97,007,723 and 206,714,674

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Solution

The third proportional to 97,007,723 and 206,714,674 is: 440,490,253.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,007,723 : 206,714,674 = 206,714,674 : x
  2. Step 2: Convert to fraction form
    97,007,723/206,714,674 = 206,714,674/x
  3. Step 3: Cross multiply
    97,007,723x = 206,714,674 × 206,714,674
  4. Step 4: Simplify right side
    97,007,723x = 42,730,956,446,926,272
  5. Step 5: Solve for x
    x = 42,730,956,446,926,272/97,007,723
  6. Step 6: Final answer
    x = 440,490,253.00

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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.