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Finding the Third Proportional to 161,907,200 and 248,709,276

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Solution

The third proportional to 161,907,200 and 248,709,276 is: 382,047,888.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,907,200 : 248,709,276 = 248,709,276 : x
  2. Step 2: Convert to fraction form
    161,907,200/248,709,276 = 248,709,276/x
  3. Step 3: Cross multiply
    161,907,200x = 248,709,276 × 248,709,276
  4. Step 4: Simplify right side
    161,907,200x = 61,856,303,968,444,176
  5. Step 5: Solve for x
    x = 61,856,303,968,444,176/161,907,200
  6. Step 6: Final answer
    x = 382,047,888.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.