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Finding the Third Proportional to 48,575,322 and 114,669,810

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Solution

The third proportional to 48,575,322 and 114,669,810 is: 270,696,410.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,575,322 : 114,669,810 = 114,669,810 : x
  2. Step 2: Convert to fraction form
    48,575,322/114,669,810 = 114,669,810/x
  3. Step 3: Cross multiply
    48,575,322x = 114,669,810 × 114,669,810
  4. Step 4: Simplify right side
    48,575,322x = 13,149,165,325,436,100
  5. Step 5: Solve for x
    x = 13,149,165,325,436,100/48,575,322
  6. Step 6: Final answer
    x = 270,696,410.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.