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Finding the Third Proportional to 131,511,424 and 209,443,776

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Solution

The third proportional to 131,511,424 and 209,443,776 is: 333,558,058.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,511,424 : 209,443,776 = 209,443,776 : x
  2. Step 2: Convert to fraction form
    131,511,424/209,443,776 = 209,443,776/x
  3. Step 3: Cross multiply
    131,511,424x = 209,443,776 × 209,443,776
  4. Step 4: Simplify right side
    131,511,424x = 43,866,695,305,138,176
  5. Step 5: Solve for x
    x = 43,866,695,305,138,176/131,511,424
  6. Step 6: Final answer
    x = 333,558,058.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.