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Finding the Third Proportional to 214,462,085.63 and 331,398,608.63

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Solution

The third proportional to 214,462,085.63 and 331,398,608.63 is: 512,095,354.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,462,085.63 : 331,398,608.63 = 331,398,608.63 : x
  2. Step 2: Convert to fraction form
    214,462,085.63/331,398,608.63 = 331,398,608.63/x
  3. Step 3: Cross multiply
    214,462,085.63x = 331,398,608.63 × 331,398,608.63
  4. Step 4: Simplify right side
    214,462,085.63x = 109,825,037,798,585,920
  5. Step 5: Solve for x
    x = 109,825,037,798,585,920/214,462,085.63
  6. Step 6: Final answer
    x = 512,095,354.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.