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Finding the Third Proportional to 48,629,993.50 and 105,024,537.50

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Solution

The third proportional to 48,629,993.50 and 105,024,537.50 is: 226,817,909.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,629,993.50 : 105,024,537.50 = 105,024,537.50 : x
  2. Step 2: Convert to fraction form
    48,629,993.50/105,024,537.50 = 105,024,537.50/x
  3. Step 3: Cross multiply
    48,629,993.50x = 105,024,537.50 × 105,024,537.50
  4. Step 4: Simplify right side
    48,629,993.50x = 11,030,153,477,088,906
  5. Step 5: Solve for x
    x = 11,030,153,477,088,906/48,629,993.50
  6. Step 6: Final answer
    x = 226,817,909.76

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Why These Related Problems?

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