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Finding the Third Proportional to 53,815,980 and 114,807,267

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Solution

The third proportional to 53,815,980 and 114,807,267 is: 244,921,834.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,815,980 : 114,807,267 = 114,807,267 : x
  2. Step 2: Convert to fraction form
    53,815,980/114,807,267 = 114,807,267/x
  3. Step 3: Cross multiply
    53,815,980x = 114,807,267 × 114,807,267
  4. Step 4: Simplify right side
    53,815,980x = 13,180,708,556,009,288
  5. Step 5: Solve for x
    x = 13,180,708,556,009,288/53,815,980
  6. Step 6: Final answer
    x = 244,921,834.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.