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Finding the Third Proportional to 202,765,953 and 416,281,140

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Solution

The third proportional to 202,765,953 and 416,281,140 is: 854,630,597.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,765,953 : 416,281,140 = 416,281,140 : x
  2. Step 2: Convert to fraction form
    202,765,953/416,281,140 = 416,281,140/x
  3. Step 3: Cross multiply
    202,765,953x = 416,281,140 × 416,281,140
  4. Step 4: Simplify right side
    202,765,953x = 173,289,987,519,699,584
  5. Step 5: Solve for x
    x = 173,289,987,519,699,584/202,765,953
  6. Step 6: Final answer
    x = 854,630,597.28

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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.