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Finding the Third Proportional to 82,977,626,946 and 178,540,343,202

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Solution

The third proportional to 82,977,626,946 and 178,540,343,202 is: 384,159,626,201.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,977,626,946 : 178,540,343,202 = 178,540,343,202 : x
  2. Step 2: Convert to fraction form
    82,977,626,946/178,540,343,202 = 178,540,343,202/x
  3. Step 3: Cross multiply
    82,977,626,946x = 178,540,343,202 × 178,540,343,202
  4. Step 4: Simplify right side
    82,977,626,946x = 31,876,654,150,687,947,489,280
  5. Step 5: Solve for x
    x = 31,876,654,150,687,947,489,280/82,977,626,946
  6. Step 6: Final answer
    x = 384,159,626,201.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.