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Finding the Third Proportional to 270,325,134 and 418,769,109

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Solution

The third proportional to 270,325,134 and 418,769,109 is: 648,728,307.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,325,134 : 418,769,109 = 418,769,109 : x
  2. Step 2: Convert to fraction form
    270,325,134/418,769,109 = 418,769,109/x
  3. Step 3: Cross multiply
    270,325,134x = 418,769,109 × 418,769,109
  4. Step 4: Simplify right side
    270,325,134x = 175,367,566,652,653,888
  5. Step 5: Solve for x
    x = 175,367,566,652,653,888/270,325,134
  6. Step 6: Final answer
    x = 648,728,307.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.