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Finding the Third Proportional to 158,797,384 and 343,975,734

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Solution

The third proportional to 158,797,384 and 343,975,734 is: 745,096,062.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,797,384 : 343,975,734 = 343,975,734 : x
  2. Step 2: Convert to fraction form
    158,797,384/343,975,734 = 343,975,734/x
  3. Step 3: Cross multiply
    158,797,384x = 343,975,734 × 343,975,734
  4. Step 4: Simplify right side
    158,797,384x = 118,319,305,580,838,752
  5. Step 5: Solve for x
    x = 118,319,305,580,838,752/158,797,384
  6. Step 6: Final answer
    x = 745,096,062.67

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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.