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Finding the Third Proportional to 202,468,346.56 and 302,375,762.62

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Solution

The third proportional to 202,468,346.56 and 302,375,762.62 is: 451,582,202.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,468,346.56 : 302,375,762.62 = 302,375,762.62 : x
  2. Step 2: Convert to fraction form
    202,468,346.56/302,375,762.62 = 302,375,762.62/x
  3. Step 3: Cross multiply
    202,468,346.56x = 302,375,762.62 × 302,375,762.62
  4. Step 4: Simplify right side
    202,468,346.56x = 91,431,101,821,284,496
  5. Step 5: Solve for x
    x = 91,431,101,821,284,496/202,468,346.56
  6. Step 6: Final answer
    x = 451,582,202.23

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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.