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Finding the Third Proportional to 42,922.13 and 93,234.38

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Solution

The third proportional to 42,922.13 and 93,234.38 is: 202,521.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,922.13 : 93,234.38 = 93,234.38 : x
  2. Step 2: Convert to fraction form
    42,922.13/93,234.38 = 93,234.38/x
  3. Step 3: Cross multiply
    42,922.13x = 93,234.38 × 93,234.38
  4. Step 4: Simplify right side
    42,922.13x = 8,692,648,681.64
  5. Step 5: Solve for x
    x = 8,692,648,681.64/42,922.13
  6. Step 6: Final answer
    x = 202,521.40

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.