Home / 214,445,634.47-468,218,176.31

Finding the Third Proportional to 214,445,634.47 and 468,218,176.31

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Solution

The third proportional to 214,445,634.47 and 468,218,176.31 is: 1,022,302,278.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,445,634.47 : 468,218,176.31 = 468,218,176.31 : x
  2. Step 2: Convert to fraction form
    214,445,634.47/468,218,176.31 = 468,218,176.31/x
  3. Step 3: Cross multiply
    214,445,634.47x = 468,218,176.31 × 468,218,176.31
  4. Step 4: Simplify right side
    214,445,634.47x = 219,228,260,629,403,328
  5. Step 5: Solve for x
    x = 219,228,260,629,403,328/214,445,634.47
  6. Step 6: Final answer
    x = 1,022,302,278.02

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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.