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Finding the Third Proportional to 110,802.75 and 156,798.19

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Solution

The third proportional to 110,802.75 and 156,798.19 is: 221,886.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,802.75 : 156,798.19 = 156,798.19 : x
  2. Step 2: Convert to fraction form
    110,802.75/156,798.19 = 156,798.19/x
  3. Step 3: Cross multiply
    110,802.75x = 156,798.19 × 156,798.19
  4. Step 4: Simplify right side
    110,802.75x = 24,585,671,603.29
  5. Step 5: Solve for x
    x = 24,585,671,603.29/110,802.75
  6. Step 6: Final answer
    x = 221,886.84

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.