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Finding the Third Proportional to 97,761,573 and 203,559,156

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Solution

The third proportional to 97,761,573 and 203,559,156 is: 423,850,892.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,761,573 : 203,559,156 = 203,559,156 : x
  2. Step 2: Convert to fraction form
    97,761,573/203,559,156 = 203,559,156/x
  3. Step 3: Cross multiply
    97,761,573x = 203,559,156 × 203,559,156
  4. Step 4: Simplify right side
    97,761,573x = 41,436,329,991,432,336
  5. Step 5: Solve for x
    x = 41,436,329,991,432,336/97,761,573
  6. Step 6: Final answer
    x = 423,850,892.74

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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.