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Finding the Third Proportional to 96,963,084 and 209,309,526

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Solution

The third proportional to 96,963,084 and 209,309,526 is: 451,826,363.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,963,084 : 209,309,526 = 209,309,526 : x
  2. Step 2: Convert to fraction form
    96,963,084/209,309,526 = 209,309,526/x
  3. Step 3: Cross multiply
    96,963,084x = 209,309,526 × 209,309,526
  4. Step 4: Simplify right side
    96,963,084x = 43,810,477,674,344,672
  5. Step 5: Solve for x
    x = 43,810,477,674,344,672/96,963,084
  6. Step 6: Final answer
    x = 451,826,363.88

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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.