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Finding the Third Proportional to 97,136,216 and 198,174,384

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Solution

The third proportional to 97,136,216 and 198,174,384 is: 404,309,413.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,136,216 : 198,174,384 = 198,174,384 : x
  2. Step 2: Convert to fraction form
    97,136,216/198,174,384 = 198,174,384/x
  3. Step 3: Cross multiply
    97,136,216x = 198,174,384 × 198,174,384
  4. Step 4: Simplify right side
    97,136,216x = 39,273,086,473,779,456
  5. Step 5: Solve for x
    x = 39,273,086,473,779,456/97,136,216
  6. Step 6: Final answer
    x = 404,309,413.02

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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.