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Finding the Third Proportional to 46,541.25 and 100,461.94

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Solution

The third proportional to 46,541.25 and 100,461.94 is: 216,852.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,541.25 : 100,461.94 = 100,461.94 : x
  2. Step 2: Convert to fraction form
    46,541.25/100,461.94 = 100,461.94/x
  3. Step 3: Cross multiply
    46,541.25x = 100,461.94 × 100,461.94
  4. Step 4: Simplify right side
    46,541.25x = 10,092,600,886.25
  5. Step 5: Solve for x
    x = 10,092,600,886.25/46,541.25
  6. Step 6: Final answer
    x = 216,852.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.