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Finding the Third Proportional to 46,976,032 and 103,189,952

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Solution

The third proportional to 46,976,032 and 103,189,952 is: 226,672,320.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,976,032 : 103,189,952 = 103,189,952 : x
  2. Step 2: Convert to fraction form
    46,976,032/103,189,952 = 103,189,952/x
  3. Step 3: Cross multiply
    46,976,032x = 103,189,952 × 103,189,952
  4. Step 4: Simplify right side
    46,976,032x = 10,648,166,193,762,304
  5. Step 5: Solve for x
    x = 10,648,166,193,762,304/46,976,032
  6. Step 6: Final answer
    x = 226,672,320.76

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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.