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Finding the Third Proportional to 232,855,550 and 472,553,692

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Solution

The third proportional to 232,855,550 and 472,553,692 is: 958,993,641.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,855,550 : 472,553,692 = 472,553,692 : x
  2. Step 2: Convert to fraction form
    232,855,550/472,553,692 = 472,553,692/x
  3. Step 3: Cross multiply
    232,855,550x = 472,553,692 × 472,553,692
  4. Step 4: Simplify right side
    232,855,550x = 223,306,991,822,830,848
  5. Step 5: Solve for x
    x = 223,306,991,822,830,848/232,855,550
  6. Step 6: Final answer
    x = 958,993,641.43

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.