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Finding the Third Proportional to 91,467,152,198 and 198,129,790,348

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Solution

The third proportional to 91,467,152,198 and 198,129,790,348 is: 429,174,986,648.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,467,152,198 : 198,129,790,348 = 198,129,790,348 : x
  2. Step 2: Convert to fraction form
    91,467,152,198/198,129,790,348 = 198,129,790,348/x
  3. Step 3: Cross multiply
    91,467,152,198x = 198,129,790,348 × 198,129,790,348
  4. Step 4: Simplify right side
    91,467,152,198x = 39,255,413,823,342,433,533,952
  5. Step 5: Solve for x
    x = 39,255,413,823,342,433,533,952/91,467,152,198
  6. Step 6: Final answer
    x = 429,174,986,648.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.