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Finding the Third Proportional to 68,522,334.75 and 147,965,940.84

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Solution

The third proportional to 68,522,334.75 and 147,965,940.84 is: 319,515,085.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,522,334.75 : 147,965,940.84 = 147,965,940.84 : x
  2. Step 2: Convert to fraction form
    68,522,334.75/147,965,940.84 = 147,965,940.84/x
  3. Step 3: Cross multiply
    68,522,334.75x = 147,965,940.84 × 147,965,940.84
  4. Step 4: Simplify right side
    68,522,334.75x = 21,893,919,649,776,124
  5. Step 5: Solve for x
    x = 21,893,919,649,776,124/68,522,334.75
  6. Step 6: Final answer
    x = 319,515,085.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.