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Finding the Third Proportional to 49,533,990 and 105,061,464

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Solution

The third proportional to 49,533,990 and 105,061,464 is: 222,835,091.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,533,990 : 105,061,464 = 105,061,464 : x
  2. Step 2: Convert to fraction form
    49,533,990/105,061,464 = 105,061,464/x
  3. Step 3: Cross multiply
    49,533,990x = 105,061,464 × 105,061,464
  4. Step 4: Simplify right side
    49,533,990x = 11,037,911,217,823,296
  5. Step 5: Solve for x
    x = 11,037,911,217,823,296/49,533,990
  6. Step 6: Final answer
    x = 222,835,091.98

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.