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Finding the Third Proportional to 99,813 and 145,851.75

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Solution

The third proportional to 99,813 and 145,851.75 is: 213,125.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,813 : 145,851.75 = 145,851.75 : x
  2. Step 2: Convert to fraction form
    99,813/145,851.75 = 145,851.75/x
  3. Step 3: Cross multiply
    99,813x = 145,851.75 × 145,851.75
  4. Step 4: Simplify right side
    99,813x = 21,272,732,978.06
  5. Step 5: Solve for x
    x = 21,272,732,978.06/99,813
  6. Step 6: Final answer
    x = 213,125.88

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.