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Finding the Third Proportional to 77,465.81 and 164,233.13

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Solution

The third proportional to 77,465.81 and 164,233.13 is: 348,186.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,465.81 : 164,233.13 = 164,233.13 : x
  2. Step 2: Convert to fraction form
    77,465.81/164,233.13 = 164,233.13/x
  3. Step 3: Cross multiply
    77,465.81x = 164,233.13 × 164,233.13
  4. Step 4: Simplify right side
    77,465.81x = 26,972,519,347.27
  5. Step 5: Solve for x
    x = 26,972,519,347.27/77,465.81
  6. Step 6: Final answer
    x = 348,186.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.