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Finding the Third Proportional to 66,519,068.50 and 142,231,009

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Solution

The third proportional to 66,519,068.50 and 142,231,009 is: 304,118,208.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,519,068.50 : 142,231,009 = 142,231,009 : x
  2. Step 2: Convert to fraction form
    66,519,068.50/142,231,009 = 142,231,009/x
  3. Step 3: Cross multiply
    66,519,068.50x = 142,231,009 × 142,231,009
  4. Step 4: Simplify right side
    66,519,068.50x = 20,229,659,921,158,080
  5. Step 5: Solve for x
    x = 20,229,659,921,158,080/66,519,068.50
  6. Step 6: Final answer
    x = 304,118,208.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.