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Finding the Third Proportional to 202,766,272 and 416,281,904

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Solution

The third proportional to 202,766,272 and 416,281,904 is: 854,632,389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,766,272 : 416,281,904 = 416,281,904 : x
  2. Step 2: Convert to fraction form
    202,766,272/416,281,904 = 416,281,904/x
  3. Step 3: Cross multiply
    202,766,272x = 416,281,904 × 416,281,904
  4. Step 4: Simplify right side
    202,766,272x = 173,290,623,597,865,216
  5. Step 5: Solve for x
    x = 173,290,623,597,865,216/202,766,272
  6. Step 6: Final answer
    x = 854,632,389.74

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Why These Related Problems?

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