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Finding the Third Proportional to 117,086,986,015.50 and 157,977,835,521

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Solution

The third proportional to 117,086,986,015.50 and 157,977,835,521 is: 213,149,192,452.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,086,986,015.50 : 157,977,835,521 = 157,977,835,521 : x
  2. Step 2: Convert to fraction form
    117,086,986,015.50/157,977,835,521 = 157,977,835,521/x
  3. Step 3: Cross multiply
    117,086,986,015.50x = 157,977,835,521 × 157,977,835,521
  4. Step 4: Simplify right side
    117,086,986,015.50x = 24,956,996,515,900,130,590,720
  5. Step 5: Solve for x
    x = 24,956,996,515,900,130,590,720/117,086,986,015.50
  6. Step 6: Final answer
    x = 213,149,192,452.49

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.