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Finding the Third Proportional to 202,765,902 and 416,281,026.50

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Solution

The third proportional to 202,765,902 and 416,281,026.50 is: 854,630,346.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,765,902 : 416,281,026.50 = 416,281,026.50 : x
  2. Step 2: Convert to fraction form
    202,765,902/416,281,026.50 = 416,281,026.50/x
  3. Step 3: Cross multiply
    202,765,902x = 416,281,026.50 × 416,281,026.50
  4. Step 4: Simplify right side
    202,765,902x = 173,289,893,023,893,696
  5. Step 5: Solve for x
    x = 173,289,893,023,893,696/202,765,902
  6. Step 6: Final answer
    x = 854,630,346.20

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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.