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Finding the Third Proportional to 99,766,092,354 and 206,603,954,387

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Solution

The third proportional to 99,766,092,354 and 206,603,954,387 is: 427,852,719,908.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,766,092,354 : 206,603,954,387 = 206,603,954,387 : x
  2. Step 2: Convert to fraction form
    99,766,092,354/206,603,954,387 = 206,603,954,387/x
  3. Step 3: Cross multiply
    99,766,092,354x = 206,603,954,387 × 206,603,954,387
  4. Step 4: Simplify right side
    99,766,092,354x = 42,685,193,968,345,575,063,552
  5. Step 5: Solve for x
    x = 42,685,193,968,345,575,063,552/99,766,092,354
  6. Step 6: Final answer
    x = 427,852,719,908.94

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.