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Finding the Third Proportional to 49,825,804 and 107,837,306

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Solution

The third proportional to 49,825,804 and 107,837,306 is: 233,390,806.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,825,804 : 107,837,306 = 107,837,306 : x
  2. Step 2: Convert to fraction form
    49,825,804/107,837,306 = 107,837,306/x
  3. Step 3: Cross multiply
    49,825,804x = 107,837,306 × 107,837,306
  4. Step 4: Simplify right side
    49,825,804x = 11,628,884,565,337,636
  5. Step 5: Solve for x
    x = 11,628,884,565,337,636/49,825,804
  6. Step 6: Final answer
    x = 233,390,806.20

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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.