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Finding the Third Proportional to 136,985,306,716 and 209,572,181,054

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Solution

The third proportional to 136,985,306,716 and 209,572,181,054 is: 320,621,971,251.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,985,306,716 : 209,572,181,054 = 209,572,181,054 : x
  2. Step 2: Convert to fraction form
    136,985,306,716/209,572,181,054 = 209,572,181,054/x
  3. Step 3: Cross multiply
    136,985,306,716x = 209,572,181,054 × 209,572,181,054
  4. Step 4: Simplify right side
    136,985,306,716x = 43,920,499,071,730,556,338,176
  5. Step 5: Solve for x
    x = 43,920,499,071,730,556,338,176/136,985,306,716
  6. Step 6: Final answer
    x = 320,621,971,251.17

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