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Finding the Third Proportional to 232,855,548 and 472,553,688

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Solution

The third proportional to 232,855,548 and 472,553,688 is: 958,993,633.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,855,548 : 472,553,688 = 472,553,688 : x
  2. Step 2: Convert to fraction form
    232,855,548/472,553,688 = 472,553,688/x
  3. Step 3: Cross multiply
    232,855,548x = 472,553,688 × 472,553,688
  4. Step 4: Simplify right side
    232,855,548x = 223,306,988,042,401,344
  5. Step 5: Solve for x
    x = 223,306,988,042,401,344/232,855,548
  6. Step 6: Final answer
    x = 958,993,633.44

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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.