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Finding the Third Proportional to 102,804.19 and 237,977.16

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Solution

The third proportional to 102,804.19 and 237,977.16 is: 550,883.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,804.19 : 237,977.16 = 237,977.16 : x
  2. Step 2: Convert to fraction form
    102,804.19/237,977.16 = 237,977.16/x
  3. Step 3: Cross multiply
    102,804.19x = 237,977.16 × 237,977.16
  4. Step 4: Simplify right side
    102,804.19x = 56,633,126,896.84
  5. Step 5: Solve for x
    x = 56,633,126,896.84/102,804.19
  6. Step 6: Final answer
    x = 550,883.46

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.