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Finding the Third Proportional to 158,493,551 and 345,124,406

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Solution

The third proportional to 158,493,551 and 345,124,406 is: 751,518,625.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,493,551 : 345,124,406 = 345,124,406 : x
  2. Step 2: Convert to fraction form
    158,493,551/345,124,406 = 345,124,406/x
  3. Step 3: Cross multiply
    158,493,551x = 345,124,406 × 345,124,406
  4. Step 4: Simplify right side
    158,493,551x = 119,110,855,616,852,832
  5. Step 5: Solve for x
    x = 119,110,855,616,852,832/158,493,551
  6. Step 6: Final answer
    x = 751,518,625.62

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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.