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Finding the Third Proportional to 97,553,160 and 140,218,131

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Solution

The third proportional to 97,553,160 and 140,218,131 is: 201,542,669.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,553,160 : 140,218,131 = 140,218,131 : x
  2. Step 2: Convert to fraction form
    97,553,160/140,218,131 = 140,218,131/x
  3. Step 3: Cross multiply
    97,553,160x = 140,218,131 × 140,218,131
  4. Step 4: Simplify right side
    97,553,160x = 19,661,124,261,133,160
  5. Step 5: Solve for x
    x = 19,661,124,261,133,160/97,553,160
  6. Step 6: Final answer
    x = 201,542,669.26

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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.