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Finding the Third Proportional to 99,813 and 153,849.75

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Solution

The third proportional to 99,813 and 153,849.75 is: 237,140.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,813 : 153,849.75 = 153,849.75 : x
  2. Step 2: Convert to fraction form
    99,813/153,849.75 = 153,849.75/x
  3. Step 3: Cross multiply
    99,813x = 153,849.75 × 153,849.75
  4. Step 4: Simplify right side
    99,813x = 23,669,745,575.06
  5. Step 5: Solve for x
    x = 23,669,745,575.06/99,813
  6. Step 6: Final answer
    x = 237,140.91

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.