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Finding the Third Proportional to 97,431,616 and 201,769,503

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Solution

The third proportional to 97,431,616 and 201,769,503 is: 417,841,087.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,431,616 : 201,769,503 = 201,769,503 : x
  2. Step 2: Convert to fraction form
    97,431,616/201,769,503 = 201,769,503/x
  3. Step 3: Cross multiply
    97,431,616x = 201,769,503 × 201,769,503
  4. Step 4: Simplify right side
    97,431,616x = 40,710,932,340,867,008
  5. Step 5: Solve for x
    x = 40,710,932,340,867,008/97,431,616
  6. Step 6: Final answer
    x = 417,841,087.03

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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.