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Finding the Third Proportional to 130,605,696 and 203,848,704

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Solution

The third proportional to 130,605,696 and 203,848,704 is: 318,166,017.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,605,696 : 203,848,704 = 203,848,704 : x
  2. Step 2: Convert to fraction form
    130,605,696/203,848,704 = 203,848,704/x
  3. Step 3: Cross multiply
    130,605,696x = 203,848,704 × 203,848,704
  4. Step 4: Simplify right side
    130,605,696x = 41,554,294,122,479,616
  5. Step 5: Solve for x
    x = 41,554,294,122,479,616/130,605,696
  6. Step 6: Final answer
    x = 318,166,017.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.