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Finding the Third Proportional to 190,618,804.50 and 416,194,779

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Solution

The third proportional to 190,618,804.50 and 416,194,779 is: 908,714,617.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,618,804.50 : 416,194,779 = 416,194,779 : x
  2. Step 2: Convert to fraction form
    190,618,804.50/416,194,779 = 416,194,779/x
  3. Step 3: Cross multiply
    190,618,804.50x = 416,194,779 × 416,194,779
  4. Step 4: Simplify right side
    190,618,804.50x = 173,218,094,066,858,848
  5. Step 5: Solve for x
    x = 173,218,094,066,858,848/190,618,804.50
  6. Step 6: Final answer
    x = 908,714,617.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.