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Finding the Third Proportional to 141,700,104 and 231,383,506.50

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Solution

The third proportional to 141,700,104 and 231,383,506.50 is: 377,828,424.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,700,104 : 231,383,506.50 = 231,383,506.50 : x
  2. Step 2: Convert to fraction form
    141,700,104/231,383,506.50 = 231,383,506.50/x
  3. Step 3: Cross multiply
    141,700,104x = 231,383,506.50 × 231,383,506.50
  4. Step 4: Simplify right side
    141,700,104x = 53,538,327,080,235,544
  5. Step 5: Solve for x
    x = 53,538,327,080,235,544/141,700,104
  6. Step 6: Final answer
    x = 377,828,424.74

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.