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Finding the Third Proportional to 44,333.81 and 97,280.63

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Solution

The third proportional to 44,333.81 and 97,280.63 is: 213,460.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,333.81 : 97,280.63 = 97,280.63 : x
  2. Step 2: Convert to fraction form
    44,333.81/97,280.63 = 97,280.63/x
  3. Step 3: Cross multiply
    44,333.81x = 97,280.63 × 97,280.63
  4. Step 4: Simplify right side
    44,333.81x = 9,463,520,000.39
  5. Step 5: Solve for x
    x = 9,463,520,000.39/44,333.81
  6. Step 6: Final answer
    x = 213,460.55

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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.