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Finding the Third Proportional to 69,821,319 and 148,153,544

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Solution

The third proportional to 69,821,319 and 148,153,544 is: 314,366,341.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,821,319 : 148,153,544 = 148,153,544 : x
  2. Step 2: Convert to fraction form
    69,821,319/148,153,544 = 148,153,544/x
  3. Step 3: Cross multiply
    69,821,319x = 148,153,544 × 148,153,544
  4. Step 4: Simplify right side
    69,821,319x = 21,949,472,599,759,936
  5. Step 5: Solve for x
    x = 21,949,472,599,759,936/69,821,319
  6. Step 6: Final answer
    x = 314,366,341.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.