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Finding the Third Proportional to 69,915,322.13 and 105,844,659.19

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Solution

The third proportional to 69,915,322.13 and 105,844,659.19 is: 160,238,007.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,915,322.13 : 105,844,659.19 = 105,844,659.19 : x
  2. Step 2: Convert to fraction form
    69,915,322.13/105,844,659.19 = 105,844,659.19/x
  3. Step 3: Cross multiply
    69,915,322.13x = 105,844,659.19 × 105,844,659.19
  4. Step 4: Simplify right side
    69,915,322.13x = 11,203,091,878,518,028
  5. Step 5: Solve for x
    x = 11,203,091,878,518,028/69,915,322.13
  6. Step 6: Final answer
    x = 160,238,007.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.