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Finding the Third Proportional to 148,692,109 and 322,096,614

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Solution

The third proportional to 148,692,109 and 322,096,614 is: 697,725,181.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,692,109 : 322,096,614 = 322,096,614 : x
  2. Step 2: Convert to fraction form
    148,692,109/322,096,614 = 322,096,614/x
  3. Step 3: Cross multiply
    148,692,109x = 322,096,614 × 322,096,614
  4. Step 4: Simplify right side
    148,692,109x = 103,746,228,750,264,992
  5. Step 5: Solve for x
    x = 103,746,228,750,264,992/148,692,109
  6. Step 6: Final answer
    x = 697,725,181.57

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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.