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Finding the Third Proportional to 45,995.34 and 102,432.09

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Solution

The third proportional to 45,995.34 and 102,432.09 is: 228,117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,995.34 : 102,432.09 = 102,432.09 : x
  2. Step 2: Convert to fraction form
    45,995.34/102,432.09 = 102,432.09/x
  3. Step 3: Cross multiply
    45,995.34x = 102,432.09 × 102,432.09
  4. Step 4: Simplify right side
    45,995.34x = 10,492,333,830.01
  5. Step 5: Solve for x
    x = 10,492,333,830.01/45,995.34
  6. Step 6: Final answer
    x = 228,117.30

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.