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Finding the Third Proportional to 164,200,458 and 354,434,964

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Solution

The third proportional to 164,200,458 and 354,434,964 is: 765,065,732.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,200,458 : 354,434,964 = 354,434,964 : x
  2. Step 2: Convert to fraction form
    164,200,458/354,434,964 = 354,434,964/x
  3. Step 3: Cross multiply
    164,200,458x = 354,434,964 × 354,434,964
  4. Step 4: Simplify right side
    164,200,458x = 125,624,143,705,681,296
  5. Step 5: Solve for x
    x = 125,624,143,705,681,296/164,200,458
  6. Step 6: Final answer
    x = 765,065,732.68

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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.