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Finding the Third Proportional to 214,239,861 and 301,696,933.50

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Solution

The third proportional to 214,239,861 and 301,696,933.50 is: 424,855,763.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,239,861 : 301,696,933.50 = 301,696,933.50 : x
  2. Step 2: Convert to fraction form
    214,239,861/301,696,933.50 = 301,696,933.50/x
  3. Step 3: Cross multiply
    214,239,861x = 301,696,933.50 × 301,696,933.50
  4. Step 4: Simplify right side
    214,239,861x = 91,021,039,683,303,424
  5. Step 5: Solve for x
    x = 91,021,039,683,303,424/214,239,861
  6. Step 6: Final answer
    x = 424,855,763.34

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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.