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Finding the Third Proportional to 97,746.75 and 214,181.72

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Solution

The third proportional to 97,746.75 and 214,181.72 is: 469,312.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,746.75 : 214,181.72 = 214,181.72 : x
  2. Step 2: Convert to fraction form
    97,746.75/214,181.72 = 214,181.72/x
  3. Step 3: Cross multiply
    97,746.75x = 214,181.72 × 214,181.72
  4. Step 4: Simplify right side
    97,746.75x = 45,873,808,646.70
  5. Step 5: Solve for x
    x = 45,873,808,646.70/97,746.75
  6. Step 6: Final answer
    x = 469,312.88

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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.