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Finding the Third Proportional to 112,236,853,905 and 232,429,448,696.62

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Solution

The third proportional to 112,236,853,905 and 232,429,448,696.62 is: 481,334,309,915.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,236,853,905 : 232,429,448,696.62 = 232,429,448,696.62 : x
  2. Step 2: Convert to fraction form
    112,236,853,905/232,429,448,696.62 = 232,429,448,696.62/x
  3. Step 3: Cross multiply
    112,236,853,905x = 232,429,448,696.62 × 232,429,448,696.62
  4. Step 4: Simplify right side
    112,236,853,905x = 54,023,448,621,414,707,363,840
  5. Step 5: Solve for x
    x = 54,023,448,621,414,707,363,840/112,236,853,905
  6. Step 6: Final answer
    x = 481,334,309,915.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.