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Finding the Third Proportional to 46,641,252 and 102,465,096

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Solution

The third proportional to 46,641,252 and 102,465,096 is: 225,103,217.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,641,252 : 102,465,096 = 102,465,096 : x
  2. Step 2: Convert to fraction form
    46,641,252/102,465,096 = 102,465,096/x
  3. Step 3: Cross multiply
    46,641,252x = 102,465,096 × 102,465,096
  4. Step 4: Simplify right side
    46,641,252x = 10,499,095,898,289,216
  5. Step 5: Solve for x
    x = 10,499,095,898,289,216/46,641,252
  6. Step 6: Final answer
    x = 225,103,217.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.