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Finding the Third Proportional to 233,214,361 and 510,361,393

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Solution

The third proportional to 233,214,361 and 510,361,393 is: 1,116,864,117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,214,361 : 510,361,393 = 510,361,393 : x
  2. Step 2: Convert to fraction form
    233,214,361/510,361,393 = 510,361,393/x
  3. Step 3: Cross multiply
    233,214,361x = 510,361,393 × 510,361,393
  4. Step 4: Simplify right side
    233,214,361x = 260,468,751,464,900,448
  5. Step 5: Solve for x
    x = 260,468,751,464,900,448/233,214,361
  6. Step 6: Final answer
    x = 1,116,864,117.41

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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.