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Finding the Third Proportional to 66,201,051 and 103,324,846.50

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Solution

The third proportional to 66,201,051 and 103,324,846.50 is: 161,266,682.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,201,051 : 103,324,846.50 = 103,324,846.50 : x
  2. Step 2: Convert to fraction form
    66,201,051/103,324,846.50 = 103,324,846.50/x
  3. Step 3: Cross multiply
    66,201,051x = 103,324,846.50 × 103,324,846.50
  4. Step 4: Simplify right side
    66,201,051x = 10,676,023,904,248,562
  5. Step 5: Solve for x
    x = 10,676,023,904,248,562/66,201,051
  6. Step 6: Final answer
    x = 161,266,682.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.