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Finding the Third Proportional to 146,648,106 and 318,518,904

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Solution

The third proportional to 146,648,106 and 318,518,904 is: 691,821,360.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,648,106 : 318,518,904 = 318,518,904 : x
  2. Step 2: Convert to fraction form
    146,648,106/318,518,904 = 318,518,904/x
  3. Step 3: Cross multiply
    146,648,106x = 318,518,904 × 318,518,904
  4. Step 4: Simplify right side
    146,648,106x = 101,454,292,205,361,216
  5. Step 5: Solve for x
    x = 101,454,292,205,361,216/146,648,106
  6. Step 6: Final answer
    x = 691,821,360.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.