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Finding the Third Proportional to 45,465 and 98,164.50

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Solution

The third proportional to 45,465 and 98,164.50 is: 211,949.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,465 : 98,164.50 = 98,164.50 : x
  2. Step 2: Convert to fraction form
    45,465/98,164.50 = 98,164.50/x
  3. Step 3: Cross multiply
    45,465x = 98,164.50 × 98,164.50
  4. Step 4: Simplify right side
    45,465x = 9,636,269,060.25
  5. Step 5: Solve for x
    x = 9,636,269,060.25/45,465
  6. Step 6: Final answer
    x = 211,949.17

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