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Finding the Third Proportional to 248,482,969.50 and 540,598,770

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Solution

The third proportional to 248,482,969.50 and 540,598,770 is: 1,176,124,990.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,482,969.50 : 540,598,770 = 540,598,770 : x
  2. Step 2: Convert to fraction form
    248,482,969.50/540,598,770 = 540,598,770/x
  3. Step 3: Cross multiply
    248,482,969.50x = 540,598,770 × 540,598,770
  4. Step 4: Simplify right side
    248,482,969.50x = 292,247,030,125,512,896
  5. Step 5: Solve for x
    x = 292,247,030,125,512,896/248,482,969.50
  6. Step 6: Final answer
    x = 1,176,124,990.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.