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Finding the Third Proportional to 202,468,349.25 and 302,375,766.38

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Solution

The third proportional to 202,468,349.25 and 302,375,766.38 is: 451,582,207.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,468,349.25 : 302,375,766.38 = 302,375,766.38 : x
  2. Step 2: Convert to fraction form
    202,468,349.25/302,375,766.38 = 302,375,766.38/x
  3. Step 3: Cross multiply
    202,468,349.25x = 302,375,766.38 × 302,375,766.38
  4. Step 4: Simplify right side
    202,468,349.25x = 91,431,104,090,868,576
  5. Step 5: Solve for x
    x = 91,431,104,090,868,576/202,468,349.25
  6. Step 6: Final answer
    x = 451,582,207.44

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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.