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Finding the Third Proportional to 230,026,245.19 and 495,127,611.56

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Solution

The third proportional to 230,026,245.19 and 495,127,611.56 is: 1,065,753,829.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,026,245.19 : 495,127,611.56 = 495,127,611.56 : x
  2. Step 2: Convert to fraction form
    230,026,245.19/495,127,611.56 = 495,127,611.56/x
  3. Step 3: Cross multiply
    230,026,245.19x = 495,127,611.56 × 495,127,611.56
  4. Step 4: Simplify right side
    230,026,245.19x = 245,151,351,731,585,888
  5. Step 5: Solve for x
    x = 245,151,351,731,585,888/230,026,245.19
  6. Step 6: Final answer
    x = 1,065,753,829.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.