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Finding the Third Proportional to 97,515,566 and 203,102,440

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Solution

The third proportional to 97,515,566 and 203,102,440 is: 423,015,553.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,515,566 : 203,102,440 = 203,102,440 : x
  2. Step 2: Convert to fraction form
    97,515,566/203,102,440 = 203,102,440/x
  3. Step 3: Cross multiply
    97,515,566x = 203,102,440 × 203,102,440
  4. Step 4: Simplify right side
    97,515,566x = 41,250,601,133,953,600
  5. Step 5: Solve for x
    x = 41,250,601,133,953,600/97,515,566
  6. Step 6: Final answer
    x = 423,015,553.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.