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Finding the Third Proportional to 53,858,251.69 and 85,296,322.69

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Solution

The third proportional to 53,858,251.69 and 85,296,322.69 is: 135,085,384.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,858,251.69 : 85,296,322.69 = 85,296,322.69 : x
  2. Step 2: Convert to fraction form
    53,858,251.69/85,296,322.69 = 85,296,322.69/x
  3. Step 3: Cross multiply
    53,858,251.69x = 85,296,322.69 × 85,296,322.69
  4. Step 4: Simplify right side
    53,858,251.69x = 7,275,462,664,010,127
  5. Step 5: Solve for x
    x = 7,275,462,664,010,127/53,858,251.69
  6. Step 6: Final answer
    x = 135,085,384.99

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.