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Finding the Third Proportional to 232,917,508.13 and 498,553,903.13

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Solution

The third proportional to 232,917,508.13 and 498,553,903.13 is: 1,067,141,737.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,917,508.13 : 498,553,903.13 = 498,553,903.13 : x
  2. Step 2: Convert to fraction form
    232,917,508.13/498,553,903.13 = 498,553,903.13/x
  3. Step 3: Cross multiply
    232,917,508.13x = 498,553,903.13 × 498,553,903.13
  4. Step 4: Simplify right side
    232,917,508.13x = 248,555,994,321,171,872
  5. Step 5: Solve for x
    x = 248,555,994,321,171,872/232,917,508.13
  6. Step 6: Final answer
    x = 1,067,141,737.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.