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Finding the Third Proportional to 97,474,006.50 and 214,077,093

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Solution

The third proportional to 97,474,006.50 and 214,077,093 is: 470,166,389.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,474,006.50 : 214,077,093 = 214,077,093 : x
  2. Step 2: Convert to fraction form
    97,474,006.50/214,077,093 = 214,077,093/x
  3. Step 3: Cross multiply
    97,474,006.50x = 214,077,093 × 214,077,093
  4. Step 4: Simplify right side
    97,474,006.50x = 45,829,001,747,330,648
  5. Step 5: Solve for x
    x = 45,829,001,747,330,648/97,474,006.50
  6. Step 6: Final answer
    x = 470,166,389.92

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.