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Finding the Third Proportional to 49,936,970.81 and 109,420,196.63

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Solution

The third proportional to 49,936,970.81 and 109,420,196.63 is: 239,757,823.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,936,970.81 : 109,420,196.63 = 109,420,196.63 : x
  2. Step 2: Convert to fraction form
    49,936,970.81/109,420,196.63 = 109,420,196.63/x
  3. Step 3: Cross multiply
    49,936,970.81x = 109,420,196.63 × 109,420,196.63
  4. Step 4: Simplify right side
    49,936,970.81x = 11,972,779,429,453,662
  5. Step 5: Solve for x
    x = 11,972,779,429,453,662/49,936,970.81
  6. Step 6: Final answer
    x = 239,757,823.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.