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Finding the Third Proportional to 136,985,306,711 and 209,572,181,044

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Solution

The third proportional to 136,985,306,711 and 209,572,181,044 is: 320,621,971,232.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,985,306,711 : 209,572,181,044 = 209,572,181,044 : x
  2. Step 2: Convert to fraction form
    136,985,306,711/209,572,181,044 = 209,572,181,044/x
  3. Step 3: Cross multiply
    136,985,306,711x = 209,572,181,044 × 209,572,181,044
  4. Step 4: Simplify right side
    136,985,306,711x = 43,920,499,067,539,112,853,504
  5. Step 5: Solve for x
    x = 43,920,499,067,539,112,853,504/136,985,306,711
  6. Step 6: Final answer
    x = 320,621,971,232.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.