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Finding the Third Proportional to 81,719,166,022.50 and 115,028,447,068.50

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Solution

The third proportional to 81,719,166,022.50 and 115,028,447,068.50 is: 161,914,814,834.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,719,166,022.50 : 115,028,447,068.50 = 115,028,447,068.50 : x
  2. Step 2: Convert to fraction form
    81,719,166,022.50/115,028,447,068.50 = 115,028,447,068.50/x
  3. Step 3: Cross multiply
    81,719,166,022.50x = 115,028,447,068.50 × 115,028,447,068.50
  4. Step 4: Simplify right side
    81,719,166,022.50x = 13,231,543,634,990,706,196,480
  5. Step 5: Solve for x
    x = 13,231,543,634,990,706,196,480/81,719,166,022.50
  6. Step 6: Final answer
    x = 161,914,814,834.84

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.