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Finding the Third Proportional to 110,651,762 and 177,787,227

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Solution

The third proportional to 110,651,762 and 177,787,227 is: 285,655,623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,651,762 : 177,787,227 = 177,787,227 : x
  2. Step 2: Convert to fraction form
    110,651,762/177,787,227 = 177,787,227/x
  3. Step 3: Cross multiply
    110,651,762x = 177,787,227 × 177,787,227
  4. Step 4: Simplify right side
    110,651,762x = 31,608,298,084,349,528
  5. Step 5: Solve for x
    x = 31,608,298,084,349,528/110,651,762
  6. Step 6: Final answer
    x = 285,655,623.67

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.