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Finding the Third Proportional to 160,447,816 and 248,031,856

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Solution

The third proportional to 160,447,816 and 248,031,856 is: 383,425,609.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,447,816 : 248,031,856 = 248,031,856 : x
  2. Step 2: Convert to fraction form
    160,447,816/248,031,856 = 248,031,856/x
  3. Step 3: Cross multiply
    160,447,816x = 248,031,856 × 248,031,856
  4. Step 4: Simplify right side
    160,447,816x = 61,519,801,590,804,736
  5. Step 5: Solve for x
    x = 61,519,801,590,804,736/160,447,816
  6. Step 6: Final answer
    x = 383,425,609.18

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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.