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Finding the Third Proportional to 49,194,090 and 113,886,735

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Solution

The third proportional to 49,194,090 and 113,886,735 is: 263,653,386.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,194,090 : 113,886,735 = 113,886,735 : x
  2. Step 2: Convert to fraction form
    49,194,090/113,886,735 = 113,886,735/x
  3. Step 3: Cross multiply
    49,194,090x = 113,886,735 × 113,886,735
  4. Step 4: Simplify right side
    49,194,090x = 12,970,188,408,960,224
  5. Step 5: Solve for x
    x = 12,970,188,408,960,224/49,194,090
  6. Step 6: Final answer
    x = 263,653,386.19

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.