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Finding the Third Proportional to 45,987.75 and 99,356.63

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Solution

The third proportional to 45,987.75 and 99,356.63 is: 214,660.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,987.75 : 99,356.63 = 99,356.63 : x
  2. Step 2: Convert to fraction form
    45,987.75/99,356.63 = 99,356.63/x
  3. Step 3: Cross multiply
    45,987.75x = 99,356.63 × 99,356.63
  4. Step 4: Simplify right side
    45,987.75x = 9,871,738,931.39
  5. Step 5: Solve for x
    x = 9,871,738,931.39/45,987.75
  6. Step 6: Final answer
    x = 214,660.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.