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Finding the Third Proportional to 78,763,919,035.50 and 169,473,840,816

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Solution

The third proportional to 78,763,919,035.50 and 169,473,840,816 is: 364,651,519,028.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,763,919,035.50 : 169,473,840,816 = 169,473,840,816 : x
  2. Step 2: Convert to fraction form
    78,763,919,035.50/169,473,840,816 = 169,473,840,816/x
  3. Step 3: Cross multiply
    78,763,919,035.50x = 169,473,840,816 × 169,473,840,816
  4. Step 4: Simplify right side
    78,763,919,035.50x = 28,721,382,720,926,906,318,848
  5. Step 5: Solve for x
    x = 28,721,382,720,926,906,318,848/78,763,919,035.50
  6. Step 6: Final answer
    x = 364,651,519,028.42

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.