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Finding the Third Proportional to 46,793,185 and 100,985,026

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Solution

The third proportional to 46,793,185 and 100,985,026 is: 217,937,194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,793,185 : 100,985,026 = 100,985,026 : x
  2. Step 2: Convert to fraction form
    46,793,185/100,985,026 = 100,985,026/x
  3. Step 3: Cross multiply
    46,793,185x = 100,985,026 × 100,985,026
  4. Step 4: Simplify right side
    46,793,185x = 10,197,975,476,220,676
  5. Step 5: Solve for x
    x = 10,197,975,476,220,676/46,793,185
  6. Step 6: Final answer
    x = 217,937,194.83

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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.