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Finding the Third Proportional to 102,199.50 and 238,712.06

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Solution

The third proportional to 102,199.50 and 238,712.06 is: 557,570.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,199.50 : 238,712.06 = 238,712.06 : x
  2. Step 2: Convert to fraction form
    102,199.50/238,712.06 = 238,712.06/x
  3. Step 3: Cross multiply
    102,199.50x = 238,712.06 × 238,712.06
  4. Step 4: Simplify right side
    102,199.50x = 56,983,448,783.00
  5. Step 5: Solve for x
    x = 56,983,448,783.00/102,199.50
  6. Step 6: Final answer
    x = 557,570.72

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.