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Finding the Third Proportional to 44,565.19 and 97,427.81

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Solution

The third proportional to 44,565.19 and 97,427.81 is: 212,995.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,565.19 : 97,427.81 = 97,427.81 : x
  2. Step 2: Convert to fraction form
    44,565.19/97,427.81 = 97,427.81/x
  3. Step 3: Cross multiply
    44,565.19x = 97,427.81 × 97,427.81
  4. Step 4: Simplify right side
    44,565.19x = 9,492,178,648.54
  5. Step 5: Solve for x
    x = 9,492,178,648.54/44,565.19
  6. Step 6: Final answer
    x = 212,995.37

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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.