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Finding the Third Proportional to 269,882,812.97 and 414,645,114.09

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Solution

The third proportional to 269,882,812.97 and 414,645,114.09 is: 637,056,390.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,882,812.97 : 414,645,114.09 = 414,645,114.09 : x
  2. Step 2: Convert to fraction form
    269,882,812.97/414,645,114.09 = 414,645,114.09/x
  3. Step 3: Cross multiply
    269,882,812.97x = 414,645,114.09 × 414,645,114.09
  4. Step 4: Simplify right side
    269,882,812.97x = 171,930,570,641,818,944
  5. Step 5: Solve for x
    x = 171,930,570,641,818,944/269,882,812.97
  6. Step 6: Final answer
    x = 637,056,390.33

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.