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Finding the Third Proportional to 230,547,163 and 356,593,907

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Solution

The third proportional to 230,547,163 and 356,593,907 is: 551,554,019.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,547,163 : 356,593,907 = 356,593,907 : x
  2. Step 2: Convert to fraction form
    230,547,163/356,593,907 = 356,593,907/x
  3. Step 3: Cross multiply
    230,547,163x = 356,593,907 × 356,593,907
  4. Step 4: Simplify right side
    230,547,163x = 127,159,214,509,524,656
  5. Step 5: Solve for x
    x = 127,159,214,509,524,656/230,547,163
  6. Step 6: Final answer
    x = 551,554,019.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.