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Finding the Third Proportional to 100,758,723 and 208,687,494

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Solution

The third proportional to 100,758,723 and 208,687,494 is: 432,225,308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,758,723 : 208,687,494 = 208,687,494 : x
  2. Step 2: Convert to fraction form
    100,758,723/208,687,494 = 208,687,494/x
  3. Step 3: Cross multiply
    100,758,723x = 208,687,494 × 208,687,494
  4. Step 4: Simplify right side
    100,758,723x = 43,550,470,152,000,032
  5. Step 5: Solve for x
    x = 43,550,470,152,000,032/100,758,723
  6. Step 6: Final answer
    x = 432,225,308.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.