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Finding the Third Proportional to 46,045,684 and 99,059,150

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Solution

The third proportional to 46,045,684 and 99,059,150 is: 213,108,251.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,045,684 : 99,059,150 = 99,059,150 : x
  2. Step 2: Convert to fraction form
    46,045,684/99,059,150 = 99,059,150/x
  3. Step 3: Cross multiply
    46,045,684x = 99,059,150 × 99,059,150
  4. Step 4: Simplify right side
    46,045,684x = 9,812,715,198,722,500
  5. Step 5: Solve for x
    x = 9,812,715,198,722,500/46,045,684
  6. Step 6: Final answer
    x = 213,108,251.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.