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Finding the Third Proportional to 42,437.63 and 92,176.88

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Solution

The third proportional to 42,437.63 and 92,176.88 is: 200,213.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,437.63 : 92,176.88 = 92,176.88 : x
  2. Step 2: Convert to fraction form
    42,437.63/92,176.88 = 92,176.88/x
  3. Step 3: Cross multiply
    42,437.63x = 92,176.88 × 92,176.88
  4. Step 4: Simplify right side
    42,437.63x = 8,496,576,284.77
  5. Step 5: Solve for x
    x = 8,496,576,284.77/42,437.63
  6. Step 6: Final answer
    x = 200,213.28

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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.