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Finding the Third Proportional to 121,708,086 and 270,628,284

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Solution

The third proportional to 121,708,086 and 270,628,284 is: 601,765,014.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,708,086 : 270,628,284 = 270,628,284 : x
  2. Step 2: Convert to fraction form
    121,708,086/270,628,284 = 270,628,284/x
  3. Step 3: Cross multiply
    121,708,086x = 270,628,284 × 270,628,284
  4. Step 4: Simplify right side
    121,708,086x = 73,239,668,100,784,656
  5. Step 5: Solve for x
    x = 73,239,668,100,784,656/121,708,086
  6. Step 6: Final answer
    x = 601,765,014.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.