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Finding the Third Proportional to 148,069,319,652 and 225,573,366,294

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Solution

The third proportional to 148,069,319,652 and 225,573,366,294 is: 343,645,420,272.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,069,319,652 : 225,573,366,294 = 225,573,366,294 : x
  2. Step 2: Convert to fraction form
    148,069,319,652/225,573,366,294 = 225,573,366,294/x
  3. Step 3: Cross multiply
    148,069,319,652x = 225,573,366,294 × 225,573,366,294
  4. Step 4: Simplify right side
    148,069,319,652x = 50,883,343,581,207,093,837,824
  5. Step 5: Solve for x
    x = 50,883,343,581,207,093,837,824/148,069,319,652
  6. Step 6: Final answer
    x = 343,645,420,272.04

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