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Finding the Third Proportional to 238,575,848 and 521,810,128

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Solution

The third proportional to 238,575,848 and 521,810,128 is: 1,141,296,623.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,575,848 : 521,810,128 = 521,810,128 : x
  2. Step 2: Convert to fraction form
    238,575,848/521,810,128 = 521,810,128/x
  3. Step 3: Cross multiply
    238,575,848x = 521,810,128 × 521,810,128
  4. Step 4: Simplify right side
    238,575,848x = 272,285,809,683,376,384
  5. Step 5: Solve for x
    x = 272,285,809,683,376,384/238,575,848
  6. Step 6: Final answer
    x = 1,141,296,623.13

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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.