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Finding the Third Proportional to 106,428,266 and 229,468,986

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Solution

The third proportional to 106,428,266 and 229,468,986 is: 494,755,928.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,428,266 : 229,468,986 = 229,468,986 : x
  2. Step 2: Convert to fraction form
    106,428,266/229,468,986 = 229,468,986/x
  3. Step 3: Cross multiply
    106,428,266x = 229,468,986 × 229,468,986
  4. Step 4: Simplify right side
    106,428,266x = 52,656,015,535,868,192
  5. Step 5: Solve for x
    x = 52,656,015,535,868,192/106,428,266
  6. Step 6: Final answer
    x = 494,755,928.24

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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.