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Finding the Third Proportional to 99,542,696 and 207,031,490

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Solution

The third proportional to 99,542,696 and 207,031,490 is: 430,589,481.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,542,696 : 207,031,490 = 207,031,490 : x
  2. Step 2: Convert to fraction form
    99,542,696/207,031,490 = 207,031,490/x
  3. Step 3: Cross multiply
    99,542,696x = 207,031,490 × 207,031,490
  4. Step 4: Simplify right side
    99,542,696x = 42,862,037,851,620,096
  5. Step 5: Solve for x
    x = 42,862,037,851,620,096/99,542,696
  6. Step 6: Final answer
    x = 430,589,481.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.