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Finding the Third Proportional to 45,603 and 99,832.50

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Solution

The third proportional to 45,603 and 99,832.50 is: 218,549.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,603 : 99,832.50 = 99,832.50 : x
  2. Step 2: Convert to fraction form
    45,603/99,832.50 = 99,832.50/x
  3. Step 3: Cross multiply
    45,603x = 99,832.50 × 99,832.50
  4. Step 4: Simplify right side
    45,603x = 9,966,528,056.25
  5. Step 5: Solve for x
    x = 9,966,528,056.25/45,603
  6. Step 6: Final answer
    x = 218,549.83

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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.