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Finding the Third Proportional to 223,920,866 and 465,718,180

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Solution

The third proportional to 223,920,866 and 465,718,180 is: 968,616,400.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,920,866 : 465,718,180 = 465,718,180 : x
  2. Step 2: Convert to fraction form
    223,920,866/465,718,180 = 465,718,180/x
  3. Step 3: Cross multiply
    223,920,866x = 465,718,180 × 465,718,180
  4. Step 4: Simplify right side
    223,920,866x = 216,893,423,182,512,384
  5. Step 5: Solve for x
    x = 216,893,423,182,512,384/223,920,866
  6. Step 6: Final answer
    x = 968,616,400.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.