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Finding the Third Proportional to 233,214,375 and 510,361,419

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Solution

The third proportional to 233,214,375 and 510,361,419 is: 1,116,864,164.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,214,375 : 510,361,419 = 510,361,419 : x
  2. Step 2: Convert to fraction form
    233,214,375/510,361,419 = 510,361,419/x
  3. Step 3: Cross multiply
    233,214,375x = 510,361,419 × 510,361,419
  4. Step 4: Simplify right side
    233,214,375x = 260,468,778,003,693,568
  5. Step 5: Solve for x
    x = 260,468,778,003,693,568/233,214,375
  6. Step 6: Final answer
    x = 1,116,864,164.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.