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Finding the Third Proportional to 46,976,028 and 103,189,944

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Solution

The third proportional to 46,976,028 and 103,189,944 is: 226,672,304.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,976,028 : 103,189,944 = 103,189,944 : x
  2. Step 2: Convert to fraction form
    46,976,028/103,189,944 = 103,189,944/x
  3. Step 3: Cross multiply
    46,976,028x = 103,189,944 × 103,189,944
  4. Step 4: Simplify right side
    46,976,028x = 10,648,164,542,723,136
  5. Step 5: Solve for x
    x = 10,648,164,542,723,136/46,976,028
  6. Step 6: Final answer
    x = 226,672,304.92

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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.