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Finding the Third Proportional to 82,904.63 and 177,638.06

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Solution

The third proportional to 82,904.63 and 177,638.06 is: 380,621.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,904.63 : 177,638.06 = 177,638.06 : x
  2. Step 2: Convert to fraction form
    82,904.63/177,638.06 = 177,638.06/x
  3. Step 3: Cross multiply
    82,904.63x = 177,638.06 × 177,638.06
  4. Step 4: Simplify right side
    82,904.63x = 31,555,281,248.75
  5. Step 5: Solve for x
    x = 31,555,281,248.75/82,904.63
  6. Step 6: Final answer
    x = 380,621.48

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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.