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Finding the Third Proportional to 97,053.25 and 212,097.75

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Solution

The third proportional to 97,053.25 and 212,097.75 is: 463,513.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,053.25 : 212,097.75 = 212,097.75 : x
  2. Step 2: Convert to fraction form
    97,053.25/212,097.75 = 212,097.75/x
  3. Step 3: Cross multiply
    97,053.25x = 212,097.75 × 212,097.75
  4. Step 4: Simplify right side
    97,053.25x = 44,985,455,555.06
  5. Step 5: Solve for x
    x = 44,985,455,555.06/97,053.25
  6. Step 6: Final answer
    x = 463,513.13

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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.