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Finding the Third Proportional to 45,798,474.75 and 98,771,199.75

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Solution

The third proportional to 45,798,474.75 and 98,771,199.75 is: 213,014,733.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,798,474.75 : 98,771,199.75 = 98,771,199.75 : x
  2. Step 2: Convert to fraction form
    45,798,474.75/98,771,199.75 = 98,771,199.75/x
  3. Step 3: Cross multiply
    45,798,474.75x = 98,771,199.75 × 98,771,199.75
  4. Step 4: Simplify right side
    45,798,474.75x = 9,755,749,900,054,400
  5. Step 5: Solve for x
    x = 9,755,749,900,054,400/45,798,474.75
  6. Step 6: Final answer
    x = 213,014,733.64

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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.