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Finding the Third Proportional to 53,469,819.56 and 112,684,807.97

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Solution

The third proportional to 53,469,819.56 and 112,684,807.97 is: 237,477,254.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,469,819.56 : 112,684,807.97 = 112,684,807.97 : x
  2. Step 2: Convert to fraction form
    53,469,819.56/112,684,807.97 = 112,684,807.97/x
  3. Step 3: Cross multiply
    53,469,819.56x = 112,684,807.97 × 112,684,807.97
  4. Step 4: Simplify right side
    53,469,819.56x = 12,697,865,946,954,064
  5. Step 5: Solve for x
    x = 12,697,865,946,954,064/53,469,819.56
  6. Step 6: Final answer
    x = 237,477,254.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.