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Finding the Third Proportional to 105,337,577.25 and 226,206,526.50

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Solution

The third proportional to 105,337,577.25 and 226,206,526.50 is: 485,765,801.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,337,577.25 : 226,206,526.50 = 226,206,526.50 : x
  2. Step 2: Convert to fraction form
    105,337,577.25/226,206,526.50 = 226,206,526.50/x
  3. Step 3: Cross multiply
    105,337,577.25x = 226,206,526.50 × 226,206,526.50
  4. Step 4: Simplify right side
    105,337,577.25x = 51,169,392,631,195,200
  5. Step 5: Solve for x
    x = 51,169,392,631,195,200/105,337,577.25
  6. Step 6: Final answer
    x = 485,765,801.41

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.