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Finding the Third Proportional to 197,201,706.50 and 307,740,785.75

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Solution

The third proportional to 197,201,706.50 and 307,740,785.75 is: 480,241,235.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,201,706.50 : 307,740,785.75 = 307,740,785.75 : x
  2. Step 2: Convert to fraction form
    197,201,706.50/307,740,785.75 = 307,740,785.75/x
  3. Step 3: Cross multiply
    197,201,706.50x = 307,740,785.75 × 307,740,785.75
  4. Step 4: Simplify right side
    197,201,706.50x = 94,704,391,214,027,408
  5. Step 5: Solve for x
    x = 94,704,391,214,027,408/197,201,706.50
  6. Step 6: Final answer
    x = 480,241,235.71

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