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Finding the Third Proportional to 82,413,271,004 and 178,517,809,360

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Solution

The third proportional to 82,413,271,004 and 178,517,809,360 is: 386,692,675,469.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,413,271,004 : 178,517,809,360 = 178,517,809,360 : x
  2. Step 2: Convert to fraction form
    82,413,271,004/178,517,809,360 = 178,517,809,360/x
  3. Step 3: Cross multiply
    82,413,271,004x = 178,517,809,360 × 178,517,809,360
  4. Step 4: Simplify right side
    82,413,271,004x = 31,868,608,258,693,302,059,008
  5. Step 5: Solve for x
    x = 31,868,608,258,693,302,059,008/82,413,271,004
  6. Step 6: Final answer
    x = 386,692,675,469.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.