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Finding the Third Proportional to 91,467,152,196 and 198,129,790,344

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Solution

The third proportional to 91,467,152,196 and 198,129,790,344 is: 429,174,986,640.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,467,152,196 : 198,129,790,344 = 198,129,790,344 : x
  2. Step 2: Convert to fraction form
    91,467,152,196/198,129,790,344 = 198,129,790,344/x
  3. Step 3: Cross multiply
    91,467,152,196x = 198,129,790,344 × 198,129,790,344
  4. Step 4: Simplify right side
    91,467,152,196x = 39,255,413,821,757,397,663,744
  5. Step 5: Solve for x
    x = 39,255,413,821,757,397,663,744/91,467,152,196
  6. Step 6: Final answer
    x = 429,174,986,640.44

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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.