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Finding the Third Proportional to 45,322 and 97,447

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Solution

The third proportional to 45,322 and 97,447 is: 209,521.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,322 : 97,447 = 97,447 : x
  2. Step 2: Convert to fraction form
    45,322/97,447 = 97,447/x
  3. Step 3: Cross multiply
    45,322x = 97,447 × 97,447
  4. Step 4: Simplify right side
    45,322x = 9,495,917,809
  5. Step 5: Solve for x
    x = 9,495,917,809/45,322
  6. Step 6: Final answer
    x = 209,521.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.