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Finding the Third Proportional to 101,705,575.88 and 220,749,408.75

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Solution

The third proportional to 101,705,575.88 and 220,749,408.75 is: 479,131,070.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,705,575.88 : 220,749,408.75 = 220,749,408.75 : x
  2. Step 2: Convert to fraction form
    101,705,575.88/220,749,408.75 = 220,749,408.75/x
  3. Step 3: Cross multiply
    101,705,575.88x = 220,749,408.75 × 220,749,408.75
  4. Step 4: Simplify right side
    101,705,575.88x = 48,730,301,463,474,576
  5. Step 5: Solve for x
    x = 48,730,301,463,474,576/101,705,575.88
  6. Step 6: Final answer
    x = 479,131,070.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.