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Finding the Third Proportional to 146,480,354 and 221,605,787

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Solution

The third proportional to 146,480,354 and 221,605,787 is: 335,260,828.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,480,354 : 221,605,787 = 221,605,787 : x
  2. Step 2: Convert to fraction form
    146,480,354/221,605,787 = 221,605,787/x
  3. Step 3: Cross multiply
    146,480,354x = 221,605,787 × 221,605,787
  4. Step 4: Simplify right side
    146,480,354x = 49,109,124,831,889,368
  5. Step 5: Solve for x
    x = 49,109,124,831,889,368/146,480,354
  6. Step 6: Final answer
    x = 335,260,828.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.