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Finding the Third Proportional to 119,157,740,541 and 259,236,023,706

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Solution

The third proportional to 119,157,740,541 and 259,236,023,706 is: 563,986,155,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,157,740,541 : 259,236,023,706 = 259,236,023,706 : x
  2. Step 2: Convert to fraction form
    119,157,740,541/259,236,023,706 = 259,236,023,706/x
  3. Step 3: Cross multiply
    119,157,740,541x = 259,236,023,706 × 259,236,023,706
  4. Step 4: Simplify right side
    119,157,740,541x = 67,203,315,986,897,796,333,568
  5. Step 5: Solve for x
    x = 67,203,315,986,897,796,333,568/119,157,740,541
  6. Step 6: Final answer
    x = 563,986,155,509.34

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Why These Related Problems?

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