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Finding the Third Proportional to 97,275.94 and 211,592.25

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Solution

The third proportional to 97,275.94 and 211,592.25 is: 460,250.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,275.94 : 211,592.25 = 211,592.25 : x
  2. Step 2: Convert to fraction form
    97,275.94/211,592.25 = 211,592.25/x
  3. Step 3: Cross multiply
    97,275.94x = 211,592.25 × 211,592.25
  4. Step 4: Simplify right side
    97,275.94x = 44,771,280,260.06
  5. Step 5: Solve for x
    x = 44,771,280,260.06/97,275.94
  6. Step 6: Final answer
    x = 460,250.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.