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Finding the Third Proportional to 48,638.63 and 106,503.94

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Solution

The third proportional to 48,638.63 and 106,503.94 is: 233,211.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,638.63 : 106,503.94 = 106,503.94 : x
  2. Step 2: Convert to fraction form
    48,638.63/106,503.94 = 106,503.94/x
  3. Step 3: Cross multiply
    48,638.63x = 106,503.94 × 106,503.94
  4. Step 4: Simplify right side
    48,638.63x = 11,343,088,703.00
  5. Step 5: Solve for x
    x = 11,343,088,703.00/48,638.63
  6. Step 6: Final answer
    x = 233,211.54

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Why These Related Problems?

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