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Finding the Third Proportional to 101,354,349.75 and 221,286,990.75

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Solution

The third proportional to 101,354,349.75 and 221,286,990.75 is: 483,135,971.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,354,349.75 : 221,286,990.75 = 221,286,990.75 : x
  2. Step 2: Convert to fraction form
    101,354,349.75/221,286,990.75 = 221,286,990.75/x
  3. Step 3: Cross multiply
    101,354,349.75x = 221,286,990.75 × 221,286,990.75
  4. Step 4: Simplify right side
    101,354,349.75x = 48,967,932,275,190,584
  5. Step 5: Solve for x
    x = 48,967,932,275,190,584/101,354,349.75
  6. Step 6: Final answer
    x = 483,135,971.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.