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Finding the Third Proportional to 102,900,546,210 and 222,896,014,224

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Solution

The third proportional to 102,900,546,210 and 222,896,014,224 is: 482,821,860,396.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,900,546,210 : 222,896,014,224 = 222,896,014,224 : x
  2. Step 2: Convert to fraction form
    102,900,546,210/222,896,014,224 = 222,896,014,224/x
  3. Step 3: Cross multiply
    102,900,546,210x = 222,896,014,224 × 222,896,014,224
  4. Step 4: Simplify right side
    102,900,546,210x = 49,682,633,156,945,606,868,992
  5. Step 5: Solve for x
    x = 49,682,633,156,945,606,868,992/102,900,546,210
  6. Step 6: Final answer
    x = 482,821,860,396.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.