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Finding the Third Proportional to 54,178,248 and 115,704,168

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Solution

The third proportional to 54,178,248 and 115,704,168 is: 247,100,173.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,178,248 : 115,704,168 = 115,704,168 : x
  2. Step 2: Convert to fraction form
    54,178,248/115,704,168 = 115,704,168/x
  3. Step 3: Cross multiply
    54,178,248x = 115,704,168 × 115,704,168
  4. Step 4: Simplify right side
    54,178,248x = 13,387,454,492,572,224
  5. Step 5: Solve for x
    x = 13,387,454,492,572,224/54,178,248
  6. Step 6: Final answer
    x = 247,100,173.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.