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Finding the Third Proportional to 46,601,328 and 102,160,608

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Solution

The third proportional to 46,601,328 and 102,160,608 is: 223,959,064.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,601,328 : 102,160,608 = 102,160,608 : x
  2. Step 2: Convert to fraction form
    46,601,328/102,160,608 = 102,160,608/x
  3. Step 3: Cross multiply
    46,601,328x = 102,160,608 × 102,160,608
  4. Step 4: Simplify right side
    46,601,328x = 10,436,789,826,929,664
  5. Step 5: Solve for x
    x = 10,436,789,826,929,664/46,601,328
  6. Step 6: Final answer
    x = 223,959,064.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.