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Finding the Third Proportional to 234,633,407.25 and 354,969,995.63

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Solution

The third proportional to 234,633,407.25 and 354,969,995.63 is: 537,023,688.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,633,407.25 : 354,969,995.63 = 354,969,995.63 : x
  2. Step 2: Convert to fraction form
    234,633,407.25/354,969,995.63 = 354,969,995.63/x
  3. Step 3: Cross multiply
    234,633,407.25x = 354,969,995.63 × 354,969,995.63
  4. Step 4: Simplify right side
    234,633,407.25x = 126,003,697,794,012,512
  5. Step 5: Solve for x
    x = 126,003,697,794,012,512/234,633,407.25
  6. Step 6: Final answer
    x = 537,023,688.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.