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Finding the Third Proportional to 45,826.88 and 97,701.75

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Solution

The third proportional to 45,826.88 and 97,701.75 is: 208,297.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,826.88 : 97,701.75 = 97,701.75 : x
  2. Step 2: Convert to fraction form
    45,826.88/97,701.75 = 97,701.75/x
  3. Step 3: Cross multiply
    45,826.88x = 97,701.75 × 97,701.75
  4. Step 4: Simplify right side
    45,826.88x = 9,545,631,953.06
  5. Step 5: Solve for x
    x = 9,545,631,953.06/45,826.88
  6. Step 6: Final answer
    x = 208,297.68

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.