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Finding the Third Proportional to 270,325,164.38 and 418,769,176.50

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Solution

The third proportional to 270,325,164.38 and 418,769,176.50 is: 648,728,443.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,325,164.38 : 418,769,176.50 = 418,769,176.50 : x
  2. Step 2: Convert to fraction form
    270,325,164.38/418,769,176.50 = 418,769,176.50/x
  3. Step 3: Cross multiply
    270,325,164.38x = 418,769,176.50 × 418,769,176.50
  4. Step 4: Simplify right side
    270,325,164.38x = 175,367,623,186,488,160
  5. Step 5: Solve for x
    x = 175,367,623,186,488,160/270,325,164.38
  6. Step 6: Final answer
    x = 648,728,443.73

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