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Finding the Third Proportional to 202,766,000 and 416,281,238

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Solution

The third proportional to 202,766,000 and 416,281,238 is: 854,630,801.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,766,000 : 416,281,238 = 416,281,238 : x
  2. Step 2: Convert to fraction form
    202,766,000/416,281,238 = 416,281,238/x
  3. Step 3: Cross multiply
    202,766,000x = 416,281,238 × 416,281,238
  4. Step 4: Simplify right side
    202,766,000x = 173,290,069,110,812,640
  5. Step 5: Solve for x
    x = 173,290,069,110,812,640/202,766,000
  6. Step 6: Final answer
    x = 854,630,801.57

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.