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Finding the Third Proportional to 97,136,239 and 198,174,436

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Solution

The third proportional to 97,136,239 and 198,174,436 is: 404,309,529.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,136,239 : 198,174,436 = 198,174,436 : x
  2. Step 2: Convert to fraction form
    97,136,239/198,174,436 = 198,174,436/x
  3. Step 3: Cross multiply
    97,136,239x = 198,174,436 × 198,174,436
  4. Step 4: Simplify right side
    97,136,239x = 39,273,107,083,918,096
  5. Step 5: Solve for x
    x = 39,273,107,083,918,096/97,136,239
  6. Step 6: Final answer
    x = 404,309,529.46

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