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Finding the Third Proportional to 148,069,319,728 and 225,573,366,420

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Solution

The third proportional to 148,069,319,728 and 225,573,366,420 is: 343,645,420,479.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,069,319,728 : 225,573,366,420 = 225,573,366,420 : x
  2. Step 2: Convert to fraction form
    148,069,319,728/225,573,366,420 = 225,573,366,420/x
  3. Step 3: Cross multiply
    148,069,319,728x = 225,573,366,420 × 225,573,366,420
  4. Step 4: Simplify right side
    148,069,319,728x = 50,883,343,638,051,581,591,552
  5. Step 5: Solve for x
    x = 50,883,343,638,051,581,591,552/148,069,319,728
  6. Step 6: Final answer
    x = 343,645,420,479.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.