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Finding the Third Proportional to 117,284,351.25 and 159,106,851.75

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Solution

The third proportional to 117,284,351.25 and 159,106,851.75 is: 215,842,863.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,284,351.25 : 159,106,851.75 = 159,106,851.75 : x
  2. Step 2: Convert to fraction form
    117,284,351.25/159,106,851.75 = 159,106,851.75/x
  3. Step 3: Cross multiply
    117,284,351.25x = 159,106,851.75 × 159,106,851.75
  4. Step 4: Simplify right side
    117,284,351.25x = 25,314,990,273,796,480
  5. Step 5: Solve for x
    x = 25,314,990,273,796,480/117,284,351.25
  6. Step 6: Final answer
    x = 215,842,863.98

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.