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Finding the Third Proportional to 97,078,463 and 207,974,392

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Solution

The third proportional to 97,078,463 and 207,974,392 is: 445,550,396.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,078,463 : 207,974,392 = 207,974,392 : x
  2. Step 2: Convert to fraction form
    97,078,463/207,974,392 = 207,974,392/x
  3. Step 3: Cross multiply
    97,078,463x = 207,974,392 × 207,974,392
  4. Step 4: Simplify right side
    97,078,463x = 43,253,347,727,769,664
  5. Step 5: Solve for x
    x = 43,253,347,727,769,664/97,078,463
  6. Step 6: Final answer
    x = 445,550,396.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.