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Finding the Third Proportional to 169,173,630 and 269,188,498.13

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Solution

The third proportional to 169,173,630 and 269,188,498.13 is: 428,331,812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,173,630 : 269,188,498.13 = 269,188,498.13 : x
  2. Step 2: Convert to fraction form
    169,173,630/269,188,498.13 = 269,188,498.13/x
  3. Step 3: Cross multiply
    169,173,630x = 269,188,498.13 × 269,188,498.13
  4. Step 4: Simplify right side
    169,173,630x = 72,462,447,522,793,136
  5. Step 5: Solve for x
    x = 72,462,447,522,793,136/169,173,630
  6. Step 6: Final answer
    x = 428,331,812.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.