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Finding the Third Proportional to 101,107,507 and 217,789,186

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Solution

The third proportional to 101,107,507 and 217,789,186 is: 469,125,695.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,107,507 : 217,789,186 = 217,789,186 : x
  2. Step 2: Convert to fraction form
    101,107,507/217,789,186 = 217,789,186/x
  3. Step 3: Cross multiply
    101,107,507x = 217,789,186 × 217,789,186
  4. Step 4: Simplify right side
    101,107,507x = 47,432,129,538,542,592
  5. Step 5: Solve for x
    x = 47,432,129,538,542,592/101,107,507
  6. Step 6: Final answer
    x = 469,125,695.47

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Why These Related Problems?

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