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Finding the Third Proportional to 69,208,856 and 163,374,120

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Solution

The third proportional to 69,208,856 and 163,374,120 is: 385,660,226.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,208,856 : 163,374,120 = 163,374,120 : x
  2. Step 2: Convert to fraction form
    69,208,856/163,374,120 = 163,374,120/x
  3. Step 3: Cross multiply
    69,208,856x = 163,374,120 × 163,374,120
  4. Step 4: Simplify right side
    69,208,856x = 26,691,103,085,774,400
  5. Step 5: Solve for x
    x = 26,691,103,085,774,400/69,208,856
  6. Step 6: Final answer
    x = 385,660,226.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.