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Finding the Third Proportional to 97,312.50 and 207,180

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Solution

The third proportional to 97,312.50 and 207,180 is: 441,089.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,312.50 : 207,180 = 207,180 : x
  2. Step 2: Convert to fraction form
    97,312.50/207,180 = 207,180/x
  3. Step 3: Cross multiply
    97,312.50x = 207,180 × 207,180
  4. Step 4: Simplify right side
    97,312.50x = 42,923,552,400
  5. Step 5: Solve for x
    x = 42,923,552,400/97,312.50
  6. Step 6: Final answer
    x = 441,089.81

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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.