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Finding the Third Proportional to 42,915.81 and 93,220.14

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Solution

The third proportional to 42,915.81 and 93,220.14 is: 202,489.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,915.81 : 93,220.14 = 93,220.14 : x
  2. Step 2: Convert to fraction form
    42,915.81/93,220.14 = 93,220.14/x
  3. Step 3: Cross multiply
    42,915.81x = 93,220.14 × 93,220.14
  4. Step 4: Simplify right side
    42,915.81x = 8,689,993,889.86
  5. Step 5: Solve for x
    x = 8,689,993,889.86/42,915.81
  6. Step 6: Final answer
    x = 202,489.32

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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.