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Finding the Third Proportional to 65,508,068.25 and 140,218,322.06

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Solution

The third proportional to 65,508,068.25 and 140,218,322.06 is: 300,133,683.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,508,068.25 : 140,218,322.06 = 140,218,322.06 : x
  2. Step 2: Convert to fraction form
    65,508,068.25/140,218,322.06 = 140,218,322.06/x
  3. Step 3: Cross multiply
    65,508,068.25x = 140,218,322.06 × 140,218,322.06
  4. Step 4: Simplify right side
    65,508,068.25x = 19,661,177,842,022,976
  5. Step 5: Solve for x
    x = 19,661,177,842,022,976/65,508,068.25
  6. Step 6: Final answer
    x = 300,133,683.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.