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Finding the Third Proportional to 229,874,790 and 344,475,923

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Solution

The third proportional to 229,874,790 and 344,475,923 is: 516,209,983.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,874,790 : 344,475,923 = 344,475,923 : x
  2. Step 2: Convert to fraction form
    229,874,790/344,475,923 = 344,475,923/x
  3. Step 3: Cross multiply
    229,874,790x = 344,475,923 × 344,475,923
  4. Step 4: Simplify right side
    229,874,790x = 118,663,661,526,701,936
  5. Step 5: Solve for x
    x = 118,663,661,526,701,936/229,874,790
  6. Step 6: Final answer
    x = 516,209,983.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.