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Finding the Third Proportional to 46,018.13 and 110,830.78

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Solution

The third proportional to 46,018.13 and 110,830.78 is: 266,926.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,018.13 : 110,830.78 = 110,830.78 : x
  2. Step 2: Convert to fraction form
    46,018.13/110,830.78 = 110,830.78/x
  3. Step 3: Cross multiply
    46,018.13x = 110,830.78 × 110,830.78
  4. Step 4: Simplify right side
    46,018.13x = 12,283,462,072.49
  5. Step 5: Solve for x
    x = 12,283,462,072.49/46,018.13
  6. Step 6: Final answer
    x = 266,926.61

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.