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Finding the Third Proportional to 201,870,889.50 and 302,470,569

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Solution

The third proportional to 201,870,889.50 and 302,470,569 is: 453,202,764.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,870,889.50 : 302,470,569 = 302,470,569 : x
  2. Step 2: Convert to fraction form
    201,870,889.50/302,470,569 = 302,470,569/x
  3. Step 3: Cross multiply
    201,870,889.50x = 302,470,569 × 302,470,569
  4. Step 4: Simplify right side
    201,870,889.50x = 91,488,445,111,183,760
  5. Step 5: Solve for x
    x = 91,488,445,111,183,760/201,870,889.50
  6. Step 6: Final answer
    x = 453,202,764.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.