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Finding the Third Proportional to 92,412,684,808 and 202,541,486,788

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Solution

The third proportional to 92,412,684,808 and 202,541,486,788 is: 443,911,503,659.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,412,684,808 : 202,541,486,788 = 202,541,486,788 : x
  2. Step 2: Convert to fraction form
    92,412,684,808/202,541,486,788 = 202,541,486,788/x
  3. Step 3: Cross multiply
    92,412,684,808x = 202,541,486,788 × 202,541,486,788
  4. Step 4: Simplify right side
    92,412,684,808x = 41,023,053,870,293,581,824,000
  5. Step 5: Solve for x
    x = 41,023,053,870,293,581,824,000/92,412,684,808
  6. Step 6: Final answer
    x = 443,911,503,659.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.