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Finding the Third Proportional to 43,915.50 and 97,655.63

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Solution

The third proportional to 43,915.50 and 97,655.63 is: 217,158.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,915.50 : 97,655.63 = 97,655.63 : x
  2. Step 2: Convert to fraction form
    43,915.50/97,655.63 = 97,655.63/x
  3. Step 3: Cross multiply
    43,915.50x = 97,655.63 × 97,655.63
  4. Step 4: Simplify right side
    43,915.50x = 9,536,621,094.14
  5. Step 5: Solve for x
    x = 9,536,621,094.14/43,915.50
  6. Step 6: Final answer
    x = 217,158.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.