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Finding the Third Proportional to 248,392,342,513.12 and 540,305,593,792.90

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Solution

The third proportional to 248,392,342,513.12 and 540,305,593,792.90 is: 1,175,278,318,688.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,392,342,513.12 : 540,305,593,792.90 = 540,305,593,792.90 : x
  2. Step 2: Convert to fraction form
    248,392,342,513.12/540,305,593,792.90 = 540,305,593,792.90/x
  3. Step 3: Cross multiply
    248,392,342,513.12x = 540,305,593,792.90 × 540,305,593,792.90
  4. Step 4: Simplify right side
    248,392,342,513.12x = 291,930,134,683,898,295,091,200
  5. Step 5: Solve for x
    x = 291,930,134,683,898,295,091,200/248,392,342,513.12
  6. Step 6: Final answer
    x = 1,175,278,318,688.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.