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Finding the Third Proportional to 106,709,821 and 229,597,610

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Solution

The third proportional to 106,709,821 and 229,597,610 is: 494,003,851.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,709,821 : 229,597,610 = 229,597,610 : x
  2. Step 2: Convert to fraction form
    106,709,821/229,597,610 = 229,597,610/x
  3. Step 3: Cross multiply
    106,709,821x = 229,597,610 × 229,597,610
  4. Step 4: Simplify right side
    106,709,821x = 52,715,062,517,712,096
  5. Step 5: Solve for x
    x = 52,715,062,517,712,096/106,709,821
  6. Step 6: Final answer
    x = 494,003,851.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.