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Finding the Third Proportional to 45,321 and 97,200.75

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Solution

The third proportional to 45,321 and 97,200.75 is: 208,468.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,321 : 97,200.75 = 97,200.75 : x
  2. Step 2: Convert to fraction form
    45,321/97,200.75 = 97,200.75/x
  3. Step 3: Cross multiply
    45,321x = 97,200.75 × 97,200.75
  4. Step 4: Simplify right side
    45,321x = 9,447,985,800.56
  5. Step 5: Solve for x
    x = 9,447,985,800.56/45,321
  6. Step 6: Final answer
    x = 208,468.17

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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.