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Finding the Third Proportional to 180,810,657 and 392,445,054

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Solution

The third proportional to 180,810,657 and 392,445,054 is: 851,792,272.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,810,657 : 392,445,054 = 392,445,054 : x
  2. Step 2: Convert to fraction form
    180,810,657/392,445,054 = 392,445,054/x
  3. Step 3: Cross multiply
    180,810,657x = 392,445,054 × 392,445,054
  4. Step 4: Simplify right side
    180,810,657x = 154,013,120,409,062,912
  5. Step 5: Solve for x
    x = 154,013,120,409,062,912/180,810,657
  6. Step 6: Final answer
    x = 851,792,272.45

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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.