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Finding the Third Proportional to 202,465,441 and 302,373,796

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Solution

The third proportional to 202,465,441 and 302,373,796 is: 451,582,808.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,465,441 : 302,373,796 = 302,373,796 : x
  2. Step 2: Convert to fraction form
    202,465,441/302,373,796 = 302,373,796/x
  3. Step 3: Cross multiply
    202,465,441x = 302,373,796 × 302,373,796
  4. Step 4: Simplify right side
    202,465,441x = 91,429,912,507,449,616
  5. Step 5: Solve for x
    x = 91,429,912,507,449,616/202,465,441
  6. Step 6: Final answer
    x = 451,582,808.68

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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.