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Finding the Third Proportional to 45,511,920 and 98,295,972.75

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Solution

The third proportional to 45,511,920 and 98,295,972.75 is: 212,298,190.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,511,920 : 98,295,972.75 = 98,295,972.75 : x
  2. Step 2: Convert to fraction form
    45,511,920/98,295,972.75 = 98,295,972.75/x
  3. Step 3: Cross multiply
    45,511,920x = 98,295,972.75 × 98,295,972.75
  4. Step 4: Simplify right side
    45,511,920x = 9,662,098,258,868,742
  5. Step 5: Solve for x
    x = 9,662,098,258,868,742/45,511,920
  6. Step 6: Final answer
    x = 212,298,190.43

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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.