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Finding the Third Proportional to 101,107,506 and 217,789,188

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Solution

The third proportional to 101,107,506 and 217,789,188 is: 469,125,708.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,107,506 : 217,789,188 = 217,789,188 : x
  2. Step 2: Convert to fraction form
    101,107,506/217,789,188 = 217,789,188/x
  3. Step 3: Cross multiply
    101,107,506x = 217,789,188 × 217,789,188
  4. Step 4: Simplify right side
    101,107,506x = 47,432,130,409,699,344
  5. Step 5: Solve for x
    x = 47,432,130,409,699,344/101,107,506
  6. Step 6: Final answer
    x = 469,125,708.73

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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.