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Finding the Third Proportional to 164,200,462 and 354,434,972

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Solution

The third proportional to 164,200,462 and 354,434,972 is: 765,065,748.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,200,462 : 354,434,972 = 354,434,972 : x
  2. Step 2: Convert to fraction form
    164,200,462/354,434,972 = 354,434,972/x
  3. Step 3: Cross multiply
    164,200,462x = 354,434,972 × 354,434,972
  4. Step 4: Simplify right side
    164,200,462x = 125,624,149,376,640,784
  5. Step 5: Solve for x
    x = 125,624,149,376,640,784/164,200,462
  6. Step 6: Final answer
    x = 765,065,748.58

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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.