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Finding the Third Proportional to 46,886.66 and 102,666.55

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Solution

The third proportional to 46,886.66 and 102,666.55 is: 224,806.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,886.66 : 102,666.55 = 102,666.55 : x
  2. Step 2: Convert to fraction form
    46,886.66/102,666.55 = 102,666.55/x
  3. Step 3: Cross multiply
    46,886.66x = 102,666.55 × 102,666.55
  4. Step 4: Simplify right side
    46,886.66x = 10,540,420,649.32
  5. Step 5: Solve for x
    x = 10,540,420,649.32/46,886.66
  6. Step 6: Final answer
    x = 224,806.39

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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.