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Finding the Third Proportional to 46,463,229 and 95,909,526

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Solution

The third proportional to 46,463,229 and 95,909,526 is: 197,976,709.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,463,229 : 95,909,526 = 95,909,526 : x
  2. Step 2: Convert to fraction form
    46,463,229/95,909,526 = 95,909,526/x
  3. Step 3: Cross multiply
    46,463,229x = 95,909,526 × 95,909,526
  4. Step 4: Simplify right side
    46,463,229x = 9,198,637,177,544,676
  5. Step 5: Solve for x
    x = 9,198,637,177,544,676/46,463,229
  6. Step 6: Final answer
    x = 197,976,709.23

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.