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Finding the Third Proportional to 122,130,230.63 and 263,391,608.25

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Solution

The third proportional to 122,130,230.63 and 263,391,608.25 is: 568,042,317.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,130,230.63 : 263,391,608.25 = 263,391,608.25 : x
  2. Step 2: Convert to fraction form
    122,130,230.63/263,391,608.25 = 263,391,608.25/x
  3. Step 3: Cross multiply
    122,130,230.63x = 263,391,608.25 × 263,391,608.25
  4. Step 4: Simplify right side
    122,130,230.63x = 69,375,139,296,521,472
  5. Step 5: Solve for x
    x = 69,375,139,296,521,472/122,130,230.63
  6. Step 6: Final answer
    x = 568,042,317.95

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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.