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Finding the Third Proportional to 97,786,728 and 207,229,968

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Solution

The third proportional to 97,786,728 and 207,229,968 is: 439,162,456.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,786,728 : 207,229,968 = 207,229,968 : x
  2. Step 2: Convert to fraction form
    97,786,728/207,229,968 = 207,229,968/x
  3. Step 3: Cross multiply
    97,786,728x = 207,229,968 × 207,229,968
  4. Step 4: Simplify right side
    97,786,728x = 42,944,259,637,281,024
  5. Step 5: Solve for x
    x = 42,944,259,637,281,024/97,786,728
  6. Step 6: Final answer
    x = 439,162,456.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.