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Finding the Third Proportional to 97,136,234.50 and 198,174,427.50

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Solution

The third proportional to 97,136,234.50 and 198,174,427.50 is: 404,309,513.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,136,234.50 : 198,174,427.50 = 198,174,427.50 : x
  2. Step 2: Convert to fraction form
    97,136,234.50/198,174,427.50 = 198,174,427.50/x
  3. Step 3: Cross multiply
    97,136,234.50x = 198,174,427.50 × 198,174,427.50
  4. Step 4: Simplify right side
    97,136,234.50x = 39,273,103,714,952,760
  5. Step 5: Solve for x
    x = 39,273,103,714,952,760/97,136,234.50
  6. Step 6: Final answer
    x = 404,309,513.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.