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Finding the Third Proportional to 106,428,270 and 229,468,994

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Solution

The third proportional to 106,428,270 and 229,468,994 is: 494,755,944.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,428,270 : 229,468,994 = 229,468,994 : x
  2. Step 2: Convert to fraction form
    106,428,270/229,468,994 = 229,468,994/x
  3. Step 3: Cross multiply
    106,428,270x = 229,468,994 × 229,468,994
  4. Step 4: Simplify right side
    106,428,270x = 52,656,019,207,372,032
  5. Step 5: Solve for x
    x = 52,656,019,207,372,032/106,428,270
  6. Step 6: Final answer
    x = 494,755,944.14

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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.