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Finding the Third Proportional to 189,111.38 and 404,980.88

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Solution

The third proportional to 189,111.38 and 404,980.88 is: 867,264.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,111.38 : 404,980.88 = 404,980.88 : x
  2. Step 2: Convert to fraction form
    189,111.38/404,980.88 = 404,980.88/x
  3. Step 3: Cross multiply
    189,111.38x = 404,980.88 × 404,980.88
  4. Step 4: Simplify right side
    189,111.38x = 164,009,509,115.77
  5. Step 5: Solve for x
    x = 164,009,509,115.77/189,111.38
  6. Step 6: Final answer
    x = 867,264.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.