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Finding the Third Proportional to 226,198,064 and 488,123,248

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Solution

The third proportional to 226,198,064 and 488,123,248 is: 1,053,343,698.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,198,064 : 488,123,248 = 488,123,248 : x
  2. Step 2: Convert to fraction form
    226,198,064/488,123,248 = 488,123,248/x
  3. Step 3: Cross multiply
    226,198,064x = 488,123,248 × 488,123,248
  4. Step 4: Simplify right side
    226,198,064x = 238,264,305,238,069,504
  5. Step 5: Solve for x
    x = 238,264,305,238,069,504/226,198,064
  6. Step 6: Final answer
    x = 1,053,343,698.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.