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Finding the Third Proportional to 48,629,992.50 and 105,024,535.31

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Solution

The third proportional to 48,629,992.50 and 105,024,535.31 is: 226,817,904.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,629,992.50 : 105,024,535.31 = 105,024,535.31 : x
  2. Step 2: Convert to fraction form
    48,629,992.50/105,024,535.31 = 105,024,535.31/x
  3. Step 3: Cross multiply
    48,629,992.50x = 105,024,535.31 × 105,024,535.31
  4. Step 4: Simplify right side
    48,629,992.50x = 11,030,153,017,606,560
  5. Step 5: Solve for x
    x = 11,030,153,017,606,560/48,629,992.50
  6. Step 6: Final answer
    x = 226,817,904.97

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.