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Finding the Third Proportional to 193,836,989.25 and 414,920,778.75

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Solution

The third proportional to 193,836,989.25 and 414,920,778.75 is: 888,165,119.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,836,989.25 : 414,920,778.75 = 414,920,778.75 : x
  2. Step 2: Convert to fraction form
    193,836,989.25/414,920,778.75 = 414,920,778.75/x
  3. Step 3: Cross multiply
    193,836,989.25x = 414,920,778.75 × 414,920,778.75
  4. Step 4: Simplify right side
    193,836,989.25x = 172,159,252,638,506,464
  5. Step 5: Solve for x
    x = 172,159,252,638,506,464/193,836,989.25
  6. Step 6: Final answer
    x = 888,165,119.08

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.