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Finding the Third Proportional to 44,315.44 and 97,241.34

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Solution

The third proportional to 44,315.44 and 97,241.34 is: 213,376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,315.44 : 97,241.34 = 97,241.34 : x
  2. Step 2: Convert to fraction form
    44,315.44/97,241.34 = 97,241.34/x
  3. Step 3: Cross multiply
    44,315.44x = 97,241.34 × 97,241.34
  4. Step 4: Simplify right side
    44,315.44x = 9,455,878,934.31
  5. Step 5: Solve for x
    x = 9,455,878,934.31/44,315.44
  6. Step 6: Final answer
    x = 213,376.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.