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Finding the Third Proportional to 214,239,858 and 301,696,929.38

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Solution

The third proportional to 214,239,858 and 301,696,929.38 is: 424,855,757.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,239,858 : 301,696,929.38 = 301,696,929.38 : x
  2. Step 2: Convert to fraction form
    214,239,858/301,696,929.38 = 301,696,929.38/x
  3. Step 3: Cross multiply
    214,239,858x = 301,696,929.38 × 301,696,929.38
  4. Step 4: Simplify right side
    214,239,858x = 91,021,037,194,303,744
  5. Step 5: Solve for x
    x = 91,021,037,194,303,744/214,239,858
  6. Step 6: Final answer
    x = 424,855,757.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.