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Finding the Third Proportional to 53,830,800 and 116,747,856

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Solution

The third proportional to 53,830,800 and 116,747,856 is: 253,201,919.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,830,800 : 116,747,856 = 116,747,856 : x
  2. Step 2: Convert to fraction form
    53,830,800/116,747,856 = 116,747,856/x
  3. Step 3: Cross multiply
    53,830,800x = 116,747,856 × 116,747,856
  4. Step 4: Simplify right side
    53,830,800x = 13,630,061,880,596,736
  5. Step 5: Solve for x
    x = 13,630,061,880,596,736/53,830,800
  6. Step 6: Final answer
    x = 253,201,919.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.