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Finding the Third Proportional to 45,086,466 and 98,473,932

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Solution

The third proportional to 45,086,466 and 98,473,932 is: 215,078,185.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,086,466 : 98,473,932 = 98,473,932 : x
  2. Step 2: Convert to fraction form
    45,086,466/98,473,932 = 98,473,932/x
  3. Step 3: Cross multiply
    45,086,466x = 98,473,932 × 98,473,932
  4. Step 4: Simplify right side
    45,086,466x = 9,697,115,283,540,624
  5. Step 5: Solve for x
    x = 9,697,115,283,540,624/45,086,466
  6. Step 6: Final answer
    x = 215,078,185.18

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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.