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Finding the Third Proportional to 120,540,784.50 and 261,630,648

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Solution

The third proportional to 120,540,784.50 and 261,630,648 is: 567,862,539.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,540,784.50 : 261,630,648 = 261,630,648 : x
  2. Step 2: Convert to fraction form
    120,540,784.50/261,630,648 = 261,630,648/x
  3. Step 3: Cross multiply
    120,540,784.50x = 261,630,648 × 261,630,648
  4. Step 4: Simplify right side
    120,540,784.50x = 68,450,595,972,899,904
  5. Step 5: Solve for x
    x = 68,450,595,972,899,904/120,540,784.50
  6. Step 6: Final answer
    x = 567,862,539.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.