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Finding the Third Proportional to 42,022.88 and 90,417.38

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Solution

The third proportional to 42,022.88 and 90,417.38 is: 194,544.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,022.88 : 90,417.38 = 90,417.38 : x
  2. Step 2: Convert to fraction form
    42,022.88/90,417.38 = 90,417.38/x
  3. Step 3: Cross multiply
    42,022.88x = 90,417.38 × 90,417.38
  4. Step 4: Simplify right side
    42,022.88x = 8,175,301,701.89
  5. Step 5: Solve for x
    x = 8,175,301,701.89/42,022.88
  6. Step 6: Final answer
    x = 194,544.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.