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Finding the Third Proportional to 230,707,694.25 and 329,675,827.50

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Solution

The third proportional to 230,707,694.25 and 329,675,827.50 is: 471,098,944.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,707,694.25 : 329,675,827.50 = 329,675,827.50 : x
  2. Step 2: Convert to fraction form
    230,707,694.25/329,675,827.50 = 329,675,827.50/x
  3. Step 3: Cross multiply
    230,707,694.25x = 329,675,827.50 × 329,675,827.50
  4. Step 4: Simplify right side
    230,707,694.25x = 108,686,151,237,809,760
  5. Step 5: Solve for x
    x = 108,686,151,237,809,760/230,707,694.25
  6. Step 6: Final answer
    x = 471,098,944.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.