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Finding the Third Proportional to 42,868 and 94,036.50

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Solution

The third proportional to 42,868 and 94,036.50 is: 206,281.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,868 : 94,036.50 = 94,036.50 : x
  2. Step 2: Convert to fraction form
    42,868/94,036.50 = 94,036.50/x
  3. Step 3: Cross multiply
    42,868x = 94,036.50 × 94,036.50
  4. Step 4: Simplify right side
    42,868x = 8,842,863,332.25
  5. Step 5: Solve for x
    x = 8,842,863,332.25/42,868
  6. Step 6: Final answer
    x = 206,281.22

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