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Finding the Third Proportional to 187,106.63 and 410,091.75

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Solution

The third proportional to 187,106.63 and 410,091.75 is: 898,820.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,106.63 : 410,091.75 = 410,091.75 : x
  2. Step 2: Convert to fraction form
    187,106.63/410,091.75 = 410,091.75/x
  3. Step 3: Cross multiply
    187,106.63x = 410,091.75 × 410,091.75
  4. Step 4: Simplify right side
    187,106.63x = 168,175,243,418.06
  5. Step 5: Solve for x
    x = 168,175,243,418.06/187,106.63
  6. Step 6: Final answer
    x = 898,820.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.