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Finding the Third Proportional to 224,835,180 and 501,367,223

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Solution

The third proportional to 224,835,180 and 501,367,223 is: 1,118,014,948.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,835,180 : 501,367,223 = 501,367,223 : x
  2. Step 2: Convert to fraction form
    224,835,180/501,367,223 = 501,367,223/x
  3. Step 3: Cross multiply
    224,835,180x = 501,367,223 × 501,367,223
  4. Step 4: Simplify right side
    224,835,180x = 251,369,092,298,731,744
  5. Step 5: Solve for x
    x = 251,369,092,298,731,744/224,835,180
  6. Step 6: Final answer
    x = 1,118,014,948.99

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.