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Finding the Third Proportional to 53,203,684 and 114,363,692

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Solution

The third proportional to 53,203,684 and 114,363,692 is: 245,829,857.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,203,684 : 114,363,692 = 114,363,692 : x
  2. Step 2: Convert to fraction form
    53,203,684/114,363,692 = 114,363,692/x
  3. Step 3: Cross multiply
    53,203,684x = 114,363,692 × 114,363,692
  4. Step 4: Simplify right side
    53,203,684x = 13,079,054,047,870,864
  5. Step 5: Solve for x
    x = 13,079,054,047,870,864/53,203,684
  6. Step 6: Final answer
    x = 245,829,857.34

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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.