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Finding the Third Proportional to 45,468 and 98,170.50

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Solution

The third proportional to 45,468 and 98,170.50 is: 211,961.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,468 : 98,170.50 = 98,170.50 : x
  2. Step 2: Convert to fraction form
    45,468/98,170.50 = 98,170.50/x
  3. Step 3: Cross multiply
    45,468x = 98,170.50 × 98,170.50
  4. Step 4: Simplify right side
    45,468x = 9,637,447,070.25
  5. Step 5: Solve for x
    x = 9,637,447,070.25/45,468
  6. Step 6: Final answer
    x = 211,961.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.