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Finding the Third Proportional to 150,084,900 and 224,243,802

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Solution

The third proportional to 150,084,900 and 224,243,802 is: 335,045,582.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,084,900 : 224,243,802 = 224,243,802 : x
  2. Step 2: Convert to fraction form
    150,084,900/224,243,802 = 224,243,802/x
  3. Step 3: Cross multiply
    150,084,900x = 224,243,802 × 224,243,802
  4. Step 4: Simplify right side
    150,084,900x = 50,285,282,735,415,200
  5. Step 5: Solve for x
    x = 50,285,282,735,415,200/150,084,900
  6. Step 6: Final answer
    x = 335,045,582.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.