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Finding the Third Proportional to 164,200,452 and 354,434,952

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Solution

The third proportional to 164,200,452 and 354,434,952 is: 765,065,708.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,200,452 : 354,434,952 = 354,434,952 : x
  2. Step 2: Convert to fraction form
    164,200,452/354,434,952 = 354,434,952/x
  3. Step 3: Cross multiply
    164,200,452x = 354,434,952 × 354,434,952
  4. Step 4: Simplify right side
    164,200,452x = 125,624,135,199,242,304
  5. Step 5: Solve for x
    x = 125,624,135,199,242,304/164,200,452
  6. Step 6: Final answer
    x = 765,065,708.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.