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Finding the Third Proportional to 97,735,852 and 193,004,696

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Solution

The third proportional to 97,735,852 and 193,004,696 is: 381,137,647.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,735,852 : 193,004,696 = 193,004,696 : x
  2. Step 2: Convert to fraction form
    97,735,852/193,004,696 = 193,004,696/x
  3. Step 3: Cross multiply
    97,735,852x = 193,004,696 × 193,004,696
  4. Step 4: Simplify right side
    97,735,852x = 37,250,812,678,052,416
  5. Step 5: Solve for x
    x = 37,250,812,678,052,416/97,735,852
  6. Step 6: Final answer
    x = 381,137,647.20

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.