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Finding the Third Proportional to 45,004,266 and 98,185,621.50

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Solution

The third proportional to 45,004,266 and 98,185,621.50 is: 214,211,165.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,004,266 : 98,185,621.50 = 98,185,621.50 : x
  2. Step 2: Convert to fraction form
    45,004,266/98,185,621.50 = 98,185,621.50/x
  3. Step 3: Cross multiply
    45,004,266x = 98,185,621.50 × 98,185,621.50
  4. Step 4: Simplify right side
    45,004,266x = 9,640,416,269,341,262
  5. Step 5: Solve for x
    x = 9,640,416,269,341,262/45,004,266
  6. Step 6: Final answer
    x = 214,211,165.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.