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Finding the Third Proportional to 151,622,011 and 221,746,804.50

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Solution

The third proportional to 151,622,011 and 221,746,804.50 is: 324,304,136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,622,011 : 221,746,804.50 = 221,746,804.50 : x
  2. Step 2: Convert to fraction form
    151,622,011/221,746,804.50 = 221,746,804.50/x
  3. Step 3: Cross multiply
    151,622,011x = 221,746,804.50 × 221,746,804.50
  4. Step 4: Simplify right side
    151,622,011x = 49,171,645,305,961,224
  5. Step 5: Solve for x
    x = 49,171,645,305,961,224/151,622,011
  6. Step 6: Final answer
    x = 324,304,136.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.