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Finding the Third Proportional to 157,825,368 and 345,821,616

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Solution

The third proportional to 157,825,368 and 345,821,616 is: 757,752,645.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,825,368 : 345,821,616 = 345,821,616 : x
  2. Step 2: Convert to fraction form
    157,825,368/345,821,616 = 345,821,616/x
  3. Step 3: Cross multiply
    157,825,368x = 345,821,616 × 345,821,616
  4. Step 4: Simplify right side
    157,825,368x = 119,592,590,092,851,456
  5. Step 5: Solve for x
    x = 119,592,590,092,851,456/157,825,368
  6. Step 6: Final answer
    x = 757,752,645.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.