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Finding the Third Proportional to 98,442 and 215,954

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Solution

The third proportional to 98,442 and 215,954 is: 473,742.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,442 : 215,954 = 215,954 : x
  2. Step 2: Convert to fraction form
    98,442/215,954 = 215,954/x
  3. Step 3: Cross multiply
    98,442x = 215,954 × 215,954
  4. Step 4: Simplify right side
    98,442x = 46,636,130,116
  5. Step 5: Solve for x
    x = 46,636,130,116/98,442
  6. Step 6: Final answer
    x = 473,742.20

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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.