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Finding the Third Proportional to 49,716,968.63 and 117,196,719.75

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Solution

The third proportional to 49,716,968.63 and 117,196,719.75 is: 276,265,257.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,716,968.63 : 117,196,719.75 = 117,196,719.75 : x
  2. Step 2: Convert to fraction form
    49,716,968.63/117,196,719.75 = 117,196,719.75/x
  3. Step 3: Cross multiply
    49,716,968.63x = 117,196,719.75 × 117,196,719.75
  4. Step 4: Simplify right side
    49,716,968.63x = 13,735,071,120,160,040
  5. Step 5: Solve for x
    x = 13,735,071,120,160,040/49,716,968.63
  6. Step 6: Final answer
    x = 276,265,257.11

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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.