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Finding the Third Proportional to 97,553,064 and 140,217,974

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Solution

The third proportional to 97,553,064 and 140,217,974 is: 201,542,416.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,553,064 : 140,217,974 = 140,217,974 : x
  2. Step 2: Convert to fraction form
    97,553,064/140,217,974 = 140,217,974/x
  3. Step 3: Cross multiply
    97,553,064x = 140,217,974 × 140,217,974
  4. Step 4: Simplify right side
    97,553,064x = 19,661,080,232,664,676
  5. Step 5: Solve for x
    x = 19,661,080,232,664,676/97,553,064
  6. Step 6: Final answer
    x = 201,542,416.27

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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.