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Finding the Third Proportional to 109,050.75 and 235,615.50

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Solution

The third proportional to 109,050.75 and 235,615.50 is: 509,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,050.75 : 235,615.50 = 235,615.50 : x
  2. Step 2: Convert to fraction form
    109,050.75/235,615.50 = 235,615.50/x
  3. Step 3: Cross multiply
    109,050.75x = 235,615.50 × 235,615.50
  4. Step 4: Simplify right side
    109,050.75x = 55,514,663,840.25
  5. Step 5: Solve for x
    x = 55,514,663,840.25/109,050.75
  6. Step 6: Final answer
    x = 509,071.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.