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Finding the Third Proportional to 97,553,057 and 140,217,966

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Solution

The third proportional to 97,553,057 and 140,217,966 is: 201,542,407.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,553,057 : 140,217,966 = 140,217,966 : x
  2. Step 2: Convert to fraction form
    97,553,057/140,217,966 = 140,217,966/x
  3. Step 3: Cross multiply
    97,553,057x = 140,217,966 × 140,217,966
  4. Step 4: Simplify right side
    97,553,057x = 19,661,077,989,177,156
  5. Step 5: Solve for x
    x = 19,661,077,989,177,156/97,553,057
  6. Step 6: Final answer
    x = 201,542,407.73

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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.