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Finding the Third Proportional to 98,465.63 and 215,804.25

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Solution

The third proportional to 98,465.63 and 215,804.25 is: 472,971.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,465.63 : 215,804.25 = 215,804.25 : x
  2. Step 2: Convert to fraction form
    98,465.63/215,804.25 = 215,804.25/x
  3. Step 3: Cross multiply
    98,465.63x = 215,804.25 × 215,804.25
  4. Step 4: Simplify right side
    98,465.63x = 46,571,474,318.06
  5. Step 5: Solve for x
    x = 46,571,474,318.06/98,465.63
  6. Step 6: Final answer
    x = 472,971.91

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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.