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Finding the Third Proportional to 224,835,188 and 501,367,240

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Solution

The third proportional to 224,835,188 and 501,367,240 is: 1,118,014,985.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,835,188 : 501,367,240 = 501,367,240 : x
  2. Step 2: Convert to fraction form
    224,835,188/501,367,240 = 501,367,240/x
  3. Step 3: Cross multiply
    224,835,188x = 501,367,240 × 501,367,240
  4. Step 4: Simplify right side
    224,835,188x = 251,369,109,345,217,600
  5. Step 5: Solve for x
    x = 251,369,109,345,217,600/224,835,188
  6. Step 6: Final answer
    x = 1,118,014,985.03

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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.