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Finding the Third Proportional to 158,797,378.25 and 343,975,722.75

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Solution

The third proportional to 158,797,378.25 and 343,975,722.75 is: 745,096,040.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,797,378.25 : 343,975,722.75 = 343,975,722.75 : x
  2. Step 2: Convert to fraction form
    158,797,378.25/343,975,722.75 = 343,975,722.75/x
  3. Step 3: Cross multiply
    158,797,378.25x = 343,975,722.75 × 343,975,722.75
  4. Step 4: Simplify right side
    158,797,378.25x = 118,319,297,841,384,864
  5. Step 5: Solve for x
    x = 118,319,297,841,384,864/158,797,378.25
  6. Step 6: Final answer
    x = 745,096,040.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.