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Finding the Third Proportional to 205,566,400 and 445,004,640

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Solution

The third proportional to 205,566,400 and 445,004,640 is: 963,334,132.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,566,400 : 445,004,640 = 445,004,640 : x
  2. Step 2: Convert to fraction form
    205,566,400/445,004,640 = 445,004,640/x
  3. Step 3: Cross multiply
    205,566,400x = 445,004,640 × 445,004,640
  4. Step 4: Simplify right side
    205,566,400x = 198,029,129,621,529,600
  5. Step 5: Solve for x
    x = 198,029,129,621,529,600/205,566,400
  6. Step 6: Final answer
    x = 963,334,132.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.