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Finding the Third Proportional to 45,094,768 and 96,566,824

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Solution

The third proportional to 45,094,768 and 96,566,824 is: 206,790,098.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,094,768 : 96,566,824 = 96,566,824 : x
  2. Step 2: Convert to fraction form
    45,094,768/96,566,824 = 96,566,824/x
  3. Step 3: Cross multiply
    45,094,768x = 96,566,824 × 96,566,824
  4. Step 4: Simplify right side
    45,094,768x = 9,325,151,497,446,976
  5. Step 5: Solve for x
    x = 9,325,151,497,446,976/45,094,768
  6. Step 6: Final answer
    x = 206,790,098.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.