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Finding the Third Proportional to 69,051,168 and 151,106,016

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Solution

The third proportional to 69,051,168 and 151,106,016 is: 330,668,238.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,051,168 : 151,106,016 = 151,106,016 : x
  2. Step 2: Convert to fraction form
    69,051,168/151,106,016 = 151,106,016/x
  3. Step 3: Cross multiply
    69,051,168x = 151,106,016 × 151,106,016
  4. Step 4: Simplify right side
    69,051,168x = 22,833,028,071,392,256
  5. Step 5: Solve for x
    x = 22,833,028,071,392,256/69,051,168
  6. Step 6: Final answer
    x = 330,668,238.25

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.