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Finding the Third Proportional to 52,241,695 and 121,992,905.50

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Solution

The third proportional to 52,241,695 and 121,992,905.50 is: 284,873,394.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,241,695 : 121,992,905.50 = 121,992,905.50 : x
  2. Step 2: Convert to fraction form
    52,241,695/121,992,905.50 = 121,992,905.50/x
  3. Step 3: Cross multiply
    52,241,695x = 121,992,905.50 × 121,992,905.50
  4. Step 4: Simplify right side
    52,241,695x = 14,882,268,992,331,930
  5. Step 5: Solve for x
    x = 14,882,268,992,331,930/52,241,695
  6. Step 6: Final answer
    x = 284,873,394.56

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.