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Finding the Third Proportional to 42,088.88 and 90,854.25

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Solution

The third proportional to 42,088.88 and 90,854.25 is: 196,120.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,088.88 : 90,854.25 = 90,854.25 : x
  2. Step 2: Convert to fraction form
    42,088.88/90,854.25 = 90,854.25/x
  3. Step 3: Cross multiply
    42,088.88x = 90,854.25 × 90,854.25
  4. Step 4: Simplify right side
    42,088.88x = 8,254,494,743.06
  5. Step 5: Solve for x
    x = 8,254,494,743.06/42,088.88
  6. Step 6: Final answer
    x = 196,120.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.