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Finding the Third Proportional to 45,675,908.12 and 107,790,506.68

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Solution

The third proportional to 45,675,908.12 and 107,790,506.68 is: 254,374,654.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,675,908.12 : 107,790,506.68 = 107,790,506.68 : x
  2. Step 2: Convert to fraction form
    45,675,908.12/107,790,506.68 = 107,790,506.68/x
  3. Step 3: Cross multiply
    45,675,908.12x = 107,790,506.68 × 107,790,506.68
  4. Step 4: Simplify right side
    45,675,908.12x = 11,618,793,331,107,214
  5. Step 5: Solve for x
    x = 11,618,793,331,107,214/45,675,908.12
  6. Step 6: Final answer
    x = 254,374,654.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.