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Finding the Third Proportional to 164,126,228.06 and 354,457,814.06

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Solution

The third proportional to 164,126,228.06 and 354,457,814.06 is: 765,510,445.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,126,228.06 : 354,457,814.06 = 354,457,814.06 : x
  2. Step 2: Convert to fraction form
    164,126,228.06/354,457,814.06 = 354,457,814.06/x
  3. Step 3: Cross multiply
    164,126,228.06x = 354,457,814.06 × 354,457,814.06
  4. Step 4: Simplify right side
    164,126,228.06x = 125,640,341,949,965,824
  5. Step 5: Solve for x
    x = 125,640,341,949,965,824/164,126,228.06
  6. Step 6: Final answer
    x = 765,510,445.42

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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.