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Finding the Third Proportional to 96,963,088 and 209,309,534

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Solution

The third proportional to 96,963,088 and 209,309,534 is: 451,826,379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,963,088 : 209,309,534 = 209,309,534 : x
  2. Step 2: Convert to fraction form
    96,963,088/209,309,534 = 209,309,534/x
  3. Step 3: Cross multiply
    96,963,088x = 209,309,534 × 209,309,534
  4. Step 4: Simplify right side
    96,963,088x = 43,810,481,023,297,152
  5. Step 5: Solve for x
    x = 43,810,481,023,297,152/96,963,088
  6. Step 6: Final answer
    x = 451,826,379.78

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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.