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Finding the Third Proportional to 194,140,882.69 and 262,382,284.13

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Solution

The third proportional to 194,140,882.69 and 262,382,284.13 is: 354,610,847.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,140,882.69 : 262,382,284.13 = 262,382,284.13 : x
  2. Step 2: Convert to fraction form
    194,140,882.69/262,382,284.13 = 262,382,284.13/x
  3. Step 3: Cross multiply
    194,140,882.69x = 262,382,284.13 × 262,382,284.13
  4. Step 4: Simplify right side
    194,140,882.69x = 68,844,463,022,652,224
  5. Step 5: Solve for x
    x = 68,844,463,022,652,224/194,140,882.69
  6. Step 6: Final answer
    x = 354,610,847.90

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.