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Finding the Third Proportional to 46,206 and 97,240.50

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Solution

The third proportional to 46,206 and 97,240.50 is: 204,642.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,206 : 97,240.50 = 97,240.50 : x
  2. Step 2: Convert to fraction form
    46,206/97,240.50 = 97,240.50/x
  3. Step 3: Cross multiply
    46,206x = 97,240.50 × 97,240.50
  4. Step 4: Simplify right side
    46,206x = 9,455,714,840.25
  5. Step 5: Solve for x
    x = 9,455,714,840.25/46,206
  6. Step 6: Final answer
    x = 204,642.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.