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Finding the Third Proportional to 233,214,364 and 510,361,398

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Solution

The third proportional to 233,214,364 and 510,361,398 is: 1,116,864,124.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,214,364 : 510,361,398 = 510,361,398 : x
  2. Step 2: Convert to fraction form
    233,214,364/510,361,398 = 510,361,398/x
  3. Step 3: Cross multiply
    233,214,364x = 510,361,398 × 510,361,398
  4. Step 4: Simplify right side
    233,214,364x = 260,468,756,568,514,400
  5. Step 5: Solve for x
    x = 260,468,756,568,514,400/233,214,364
  6. Step 6: Final answer
    x = 1,116,864,124.92

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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.