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Finding the Third Proportional to 44,852.91 and 97,586.02

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Solution

The third proportional to 44,852.91 and 97,586.02 is: 212,316.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,852.91 : 97,586.02 = 97,586.02 : x
  2. Step 2: Convert to fraction form
    44,852.91/97,586.02 = 97,586.02/x
  3. Step 3: Cross multiply
    44,852.91x = 97,586.02 × 97,586.02
  4. Step 4: Simplify right side
    44,852.91x = 9,523,030,445.56
  5. Step 5: Solve for x
    x = 9,523,030,445.56/44,852.91
  6. Step 6: Final answer
    x = 212,316.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.