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Finding the Third Proportional to 46,712.95 and 109,666.09

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Solution

The third proportional to 46,712.95 and 109,666.09 is: 257,458.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,712.95 : 109,666.09 = 109,666.09 : x
  2. Step 2: Convert to fraction form
    46,712.95/109,666.09 = 109,666.09/x
  3. Step 3: Cross multiply
    46,712.95x = 109,666.09 × 109,666.09
  4. Step 4: Simplify right side
    46,712.95x = 12,026,651,261.62
  5. Step 5: Solve for x
    x = 12,026,651,261.62/46,712.95
  6. Step 6: Final answer
    x = 257,458.59

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.