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Finding the Third Proportional to 46,898,181 and 103,337,649

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Solution

The third proportional to 46,898,181 and 103,337,649 is: 227,699,016.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,898,181 : 103,337,649 = 103,337,649 : x
  2. Step 2: Convert to fraction form
    46,898,181/103,337,649 = 103,337,649/x
  3. Step 3: Cross multiply
    46,898,181x = 103,337,649 × 103,337,649
  4. Step 4: Simplify right side
    46,898,181x = 10,678,669,700,847,200
  5. Step 5: Solve for x
    x = 10,678,669,700,847,200/46,898,181
  6. Step 6: Final answer
    x = 227,699,016.75

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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.