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Finding the Third Proportional to 117,232,224 and 179,329,680

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Solution

The third proportional to 117,232,224 and 179,329,680 is: 274,319,918.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,232,224 : 179,329,680 = 179,329,680 : x
  2. Step 2: Convert to fraction form
    117,232,224/179,329,680 = 179,329,680/x
  3. Step 3: Cross multiply
    117,232,224x = 179,329,680 × 179,329,680
  4. Step 4: Simplify right side
    117,232,224x = 32,159,134,128,902,400
  5. Step 5: Solve for x
    x = 32,159,134,128,902,400/117,232,224
  6. Step 6: Final answer
    x = 274,319,918.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.