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Finding the Third Proportional to 45,069.61 and 96,172.66

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Solution

The third proportional to 45,069.61 and 96,172.66 is: 205,219.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,069.61 : 96,172.66 = 96,172.66 : x
  2. Step 2: Convert to fraction form
    45,069.61/96,172.66 = 96,172.66/x
  3. Step 3: Cross multiply
    45,069.61x = 96,172.66 × 96,172.66
  4. Step 4: Simplify right side
    45,069.61x = 9,249,181,312.88
  5. Step 5: Solve for x
    x = 9,249,181,312.88/45,069.61
  6. Step 6: Final answer
    x = 205,219.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.