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Finding the Third Proportional to 97,553,066 and 140,217,977

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Solution

The third proportional to 97,553,066 and 140,217,977 is: 201,542,420.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,553,066 : 140,217,977 = 140,217,977 : x
  2. Step 2: Convert to fraction form
    97,553,066/140,217,977 = 140,217,977/x
  3. Step 3: Cross multiply
    97,553,066x = 140,217,977 × 140,217,977
  4. Step 4: Simplify right side
    97,553,066x = 19,661,081,073,972,528
  5. Step 5: Solve for x
    x = 19,661,081,073,972,528/97,553,066
  6. Step 6: Final answer
    x = 201,542,420.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.