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Finding the Third Proportional to 232,828,905 and 388,024,789.50

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Solution

The third proportional to 232,828,905 and 388,024,789.50 is: 646,669,009.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,828,905 : 388,024,789.50 = 388,024,789.50 : x
  2. Step 2: Convert to fraction form
    232,828,905/388,024,789.50 = 388,024,789.50/x
  3. Step 3: Cross multiply
    232,828,905x = 388,024,789.50 × 388,024,789.50
  4. Step 4: Simplify right side
    232,828,905x = 150,563,237,266,519,296
  5. Step 5: Solve for x
    x = 150,563,237,266,519,296/232,828,905
  6. Step 6: Final answer
    x = 646,669,009.02

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.