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Finding the Third Proportional to 97,814.25 and 214,309.13

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Solution

The third proportional to 97,814.25 and 214,309.13 is: 469,547.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,814.25 : 214,309.13 = 214,309.13 : x
  2. Step 2: Convert to fraction form
    97,814.25/214,309.13 = 214,309.13/x
  3. Step 3: Cross multiply
    97,814.25x = 214,309.13 × 214,309.13
  4. Step 4: Simplify right side
    97,814.25x = 45,928,401,058.27
  5. Step 5: Solve for x
    x = 45,928,401,058.27/97,814.25
  6. Step 6: Final answer
    x = 469,547.14

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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.