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Finding the Third Proportional to 106,431,274 and 229,893,716

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Solution

The third proportional to 106,431,274 and 229,893,716 is: 496,575,101.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,431,274 : 229,893,716 = 229,893,716 : x
  2. Step 2: Convert to fraction form
    106,431,274/229,893,716 = 229,893,716/x
  3. Step 3: Cross multiply
    106,431,274x = 229,893,716 × 229,893,716
  4. Step 4: Simplify right side
    106,431,274x = 52,851,120,656,288,656
  5. Step 5: Solve for x
    x = 52,851,120,656,288,656/106,431,274
  6. Step 6: Final answer
    x = 496,575,101.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.