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Finding the Third Proportional to 164,200,392 and 354,434,832

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Solution

The third proportional to 164,200,392 and 354,434,832 is: 765,065,470.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,200,392 : 354,434,832 = 354,434,832 : x
  2. Step 2: Convert to fraction form
    164,200,392/354,434,832 = 354,434,832/x
  3. Step 3: Cross multiply
    164,200,392x = 354,434,832 × 354,434,832
  4. Step 4: Simplify right side
    164,200,392x = 125,624,050,134,868,224
  5. Step 5: Solve for x
    x = 125,624,050,134,868,224/164,200,392
  6. Step 6: Final answer
    x = 765,065,470.34

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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.