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Finding the Third Proportional to 46,702,230 and 102,200,916

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Solution

The third proportional to 46,702,230 and 102,200,916 is: 223,651,573.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,702,230 : 102,200,916 = 102,200,916 : x
  2. Step 2: Convert to fraction form
    46,702,230/102,200,916 = 102,200,916/x
  3. Step 3: Cross multiply
    46,702,230x = 102,200,916 × 102,200,916
  4. Step 4: Simplify right side
    46,702,230x = 10,445,027,231,239,056
  5. Step 5: Solve for x
    x = 10,445,027,231,239,056/46,702,230
  6. Step 6: Final answer
    x = 223,651,573.62

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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.