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Finding the Third Proportional to 136,462,563.75 and 322,141,821.38

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Solution

The third proportional to 136,462,563.75 and 322,141,821.38 is: 760,467,561.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,462,563.75 : 322,141,821.38 = 322,141,821.38 : x
  2. Step 2: Convert to fraction form
    136,462,563.75/322,141,821.38 = 322,141,821.38/x
  3. Step 3: Cross multiply
    136,462,563.75x = 322,141,821.38 × 322,141,821.38
  4. Step 4: Simplify right side
    136,462,563.75x = 103,775,353,078,802,400
  5. Step 5: Solve for x
    x = 103,775,353,078,802,400/136,462,563.75
  6. Step 6: Final answer
    x = 760,467,561.41

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.