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Finding the Third Proportional to 101,539,668 and 154,689,684

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Solution

The third proportional to 101,539,668 and 154,689,684 is: 235,660,592.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,539,668 : 154,689,684 = 154,689,684 : x
  2. Step 2: Convert to fraction form
    101,539,668/154,689,684 = 154,689,684/x
  3. Step 3: Cross multiply
    101,539,668x = 154,689,684 × 154,689,684
  4. Step 4: Simplify right side
    101,539,668x = 23,928,898,336,019,856
  5. Step 5: Solve for x
    x = 23,928,898,336,019,856/101,539,668
  6. Step 6: Final answer
    x = 235,660,592.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.