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Finding the Third Proportional to 101,382,986.81 and 208,140,594.47

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Solution

The third proportional to 101,382,986.81 and 208,140,594.47 is: 427,315,355.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,382,986.81 : 208,140,594.47 = 208,140,594.47 : x
  2. Step 2: Convert to fraction form
    101,382,986.81/208,140,594.47 = 208,140,594.47/x
  3. Step 3: Cross multiply
    101,382,986.81x = 208,140,594.47 × 208,140,594.47
  4. Step 4: Simplify right side
    101,382,986.81x = 43,322,507,065,804,640
  5. Step 5: Solve for x
    x = 43,322,507,065,804,640/101,382,986.81
  6. Step 6: Final answer
    x = 427,315,355.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.