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Finding the Third Proportional to 45,334 and 97,222

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Solution

The third proportional to 45,334 and 97,222 is: 208,499.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,334 : 97,222 = 97,222 : x
  2. Step 2: Convert to fraction form
    45,334/97,222 = 97,222/x
  3. Step 3: Cross multiply
    45,334x = 97,222 × 97,222
  4. Step 4: Simplify right side
    45,334x = 9,452,117,284
  5. Step 5: Solve for x
    x = 9,452,117,284/45,334
  6. Step 6: Final answer
    x = 208,499.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.