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Finding the Third Proportional to 53,260,100 and 114,747,704

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Solution

The third proportional to 53,260,100 and 114,747,704 is: 247,221,382.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,260,100 : 114,747,704 = 114,747,704 : x
  2. Step 2: Convert to fraction form
    53,260,100/114,747,704 = 114,747,704/x
  3. Step 3: Cross multiply
    53,260,100x = 114,747,704 × 114,747,704
  4. Step 4: Simplify right side
    53,260,100x = 13,167,035,573,271,616
  5. Step 5: Solve for x
    x = 13,167,035,573,271,616/53,260,100
  6. Step 6: Final answer
    x = 247,221,382.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.