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Finding the Third Proportional to 45,662.06 and 97,626.94

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Solution

The third proportional to 45,662.06 and 97,626.94 is: 208,729.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,662.06 : 97,626.94 = 97,626.94 : x
  2. Step 2: Convert to fraction form
    45,662.06/97,626.94 = 97,626.94/x
  3. Step 3: Cross multiply
    45,662.06x = 97,626.94 × 97,626.94
  4. Step 4: Simplify right side
    45,662.06x = 9,531,018,925.63
  5. Step 5: Solve for x
    x = 9,531,018,925.63/45,662.06
  6. Step 6: Final answer
    x = 208,729.49

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.