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Finding the Third Proportional to 148,557,198 and 325,812,180

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Solution

The third proportional to 148,557,198 and 325,812,180 is: 714,563,670.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,557,198 : 325,812,180 = 325,812,180 : x
  2. Step 2: Convert to fraction form
    148,557,198/325,812,180 = 325,812,180/x
  3. Step 3: Cross multiply
    148,557,198x = 325,812,180 × 325,812,180
  4. Step 4: Simplify right side
    148,557,198x = 106,153,576,636,352,400
  5. Step 5: Solve for x
    x = 106,153,576,636,352,400/148,557,198
  6. Step 6: Final answer
    x = 714,563,670.19

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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.