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Finding the Third Proportional to 45,086,462 and 98,473,920

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Solution

The third proportional to 45,086,462 and 98,473,920 is: 215,078,151.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,086,462 : 98,473,920 = 98,473,920 : x
  2. Step 2: Convert to fraction form
    45,086,462/98,473,920 = 98,473,920/x
  3. Step 3: Cross multiply
    45,086,462x = 98,473,920 × 98,473,920
  4. Step 4: Simplify right side
    45,086,462x = 9,697,112,920,166,400
  5. Step 5: Solve for x
    x = 9,697,112,920,166,400/45,086,462
  6. Step 6: Final answer
    x = 215,078,151.84

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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.