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Finding the Third Proportional to 45,748.50 and 97,837.50

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Solution

The third proportional to 45,748.50 and 97,837.50 is: 209,234.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,748.50 : 97,837.50 = 97,837.50 : x
  2. Step 2: Convert to fraction form
    45,748.50/97,837.50 = 97,837.50/x
  3. Step 3: Cross multiply
    45,748.50x = 97,837.50 × 97,837.50
  4. Step 4: Simplify right side
    45,748.50x = 9,572,176,406.25
  5. Step 5: Solve for x
    x = 9,572,176,406.25/45,748.50
  6. Step 6: Final answer
    x = 209,234.76

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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.