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Finding the Third Proportional to 42,775,434 and 92,369,016

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Solution

The third proportional to 42,775,434 and 92,369,016 is: 199,461,099.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,775,434 : 92,369,016 = 92,369,016 : x
  2. Step 2: Convert to fraction form
    42,775,434/92,369,016 = 92,369,016/x
  3. Step 3: Cross multiply
    42,775,434x = 92,369,016 × 92,369,016
  4. Step 4: Simplify right side
    42,775,434x = 8,532,035,116,808,256
  5. Step 5: Solve for x
    x = 8,532,035,116,808,256/42,775,434
  6. Step 6: Final answer
    x = 199,461,099.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.