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Finding the Third Proportional to 101,024,704 and 217,818,296

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Solution

The third proportional to 101,024,704 and 217,818,296 is: 469,635,724.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,024,704 : 217,818,296 = 217,818,296 : x
  2. Step 2: Convert to fraction form
    101,024,704/217,818,296 = 217,818,296/x
  3. Step 3: Cross multiply
    101,024,704x = 217,818,296 × 217,818,296
  4. Step 4: Simplify right side
    101,024,704x = 47,444,810,072,343,616
  5. Step 5: Solve for x
    x = 47,444,810,072,343,616/101,024,704
  6. Step 6: Final answer
    x = 469,635,724.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.