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Finding the Third Proportional to 48,438.63 and 102,746.29

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Solution

The third proportional to 48,438.63 and 102,746.29 is: 217,941.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,438.63 : 102,746.29 = 102,746.29 : x
  2. Step 2: Convert to fraction form
    48,438.63/102,746.29 = 102,746.29/x
  3. Step 3: Cross multiply
    48,438.63x = 102,746.29 × 102,746.29
  4. Step 4: Simplify right side
    48,438.63x = 10,556,799,113.41
  5. Step 5: Solve for x
    x = 10,556,799,113.41/48,438.63
  6. Step 6: Final answer
    x = 217,941.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.