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Finding the Third Proportional to 101,111,002.88 and 217,841,438.25

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Solution

The third proportional to 101,111,002.88 and 217,841,438.25 is: 469,334,601.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,111,002.88 : 217,841,438.25 = 217,841,438.25 : x
  2. Step 2: Convert to fraction form
    101,111,002.88/217,841,438.25 = 217,841,438.25/x
  3. Step 3: Cross multiply
    101,111,002.88x = 217,841,438.25 × 217,841,438.25
  4. Step 4: Simplify right side
    101,111,002.88x = 47,454,892,218,828,560
  5. Step 5: Solve for x
    x = 47,454,892,218,828,560/101,111,002.88
  6. Step 6: Final answer
    x = 469,334,601.27

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