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Finding the Third Proportional to 238,575,858 and 521,810,148

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Solution

The third proportional to 238,575,858 and 521,810,148 is: 1,141,296,662.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,575,858 : 521,810,148 = 521,810,148 : x
  2. Step 2: Convert to fraction form
    238,575,858/521,810,148 = 521,810,148/x
  3. Step 3: Cross multiply
    238,575,858x = 521,810,148 × 521,810,148
  4. Step 4: Simplify right side
    238,575,858x = 272,285,830,555,781,888
  5. Step 5: Solve for x
    x = 272,285,830,555,781,888/238,575,858
  6. Step 6: Final answer
    x = 1,141,296,662.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.