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Finding the Third Proportional to 97,389.84 and 202,570.88

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Solution

The third proportional to 97,389.84 and 202,570.88 is: 421,347.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,389.84 : 202,570.88 = 202,570.88 : x
  2. Step 2: Convert to fraction form
    97,389.84/202,570.88 = 202,570.88/x
  3. Step 3: Cross multiply
    97,389.84x = 202,570.88 × 202,570.88
  4. Step 4: Simplify right side
    97,389.84x = 41,034,959,398.27
  5. Step 5: Solve for x
    x = 41,034,959,398.27/97,389.84
  6. Step 6: Final answer
    x = 421,347.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.