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Finding the Third Proportional to 230,174,212 and 493,179,631

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Solution

The third proportional to 230,174,212 and 493,179,631 is: 1,056,704,599.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,174,212 : 493,179,631 = 493,179,631 : x
  2. Step 2: Convert to fraction form
    230,174,212/493,179,631 = 493,179,631/x
  3. Step 3: Cross multiply
    230,174,212x = 493,179,631 × 493,179,631
  4. Step 4: Simplify right side
    230,174,212x = 243,226,148,433,296,160
  5. Step 5: Solve for x
    x = 243,226,148,433,296,160/230,174,212
  6. Step 6: Final answer
    x = 1,056,704,599.18

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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.