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Finding the Third Proportional to 117,744.89 and 181,988.02

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Solution

The third proportional to 117,744.89 and 181,988.02 is: 281,283.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,744.89 : 181,988.02 = 181,988.02 : x
  2. Step 2: Convert to fraction form
    117,744.89/181,988.02 = 181,988.02/x
  3. Step 3: Cross multiply
    117,744.89x = 181,988.02 × 181,988.02
  4. Step 4: Simplify right side
    117,744.89x = 33,119,637,831.13
  5. Step 5: Solve for x
    x = 33,119,637,831.13/117,744.89
  6. Step 6: Final answer
    x = 281,283.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.