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Finding the Third Proportional to 119,157,740,564 and 259,236,023,748

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Solution

The third proportional to 119,157,740,564 and 259,236,023,748 is: 563,986,155,583.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,157,740,564 : 259,236,023,748 = 259,236,023,748 : x
  2. Step 2: Convert to fraction form
    119,157,740,564/259,236,023,748 = 259,236,023,748/x
  3. Step 3: Cross multiply
    119,157,740,564x = 259,236,023,748 × 259,236,023,748
  4. Step 4: Simplify right side
    119,157,740,564x = 67,203,316,008,673,616,068,608
  5. Step 5: Solve for x
    x = 67,203,316,008,673,616,068,608/119,157,740,564
  6. Step 6: Final answer
    x = 563,986,155,583.23

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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.