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Finding the Third Proportional to 68,441,864 and 152,186,232

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Solution

The third proportional to 68,441,864 and 152,186,232 is: 338,398,866.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,441,864 : 152,186,232 = 152,186,232 : x
  2. Step 2: Convert to fraction form
    68,441,864/152,186,232 = 152,186,232/x
  3. Step 3: Cross multiply
    68,441,864x = 152,186,232 × 152,186,232
  4. Step 4: Simplify right side
    68,441,864x = 23,160,649,210,357,824
  5. Step 5: Solve for x
    x = 23,160,649,210,357,824/68,441,864
  6. Step 6: Final answer
    x = 338,398,866.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.