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Finding the Third Proportional to 42,143,985 and 91,945,341

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Solution

The third proportional to 42,143,985 and 91,945,341 is: 200,596,733.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,143,985 : 91,945,341 = 91,945,341 : x
  2. Step 2: Convert to fraction form
    42,143,985/91,945,341 = 91,945,341/x
  3. Step 3: Cross multiply
    42,143,985x = 91,945,341 × 91,945,341
  4. Step 4: Simplify right side
    42,143,985x = 8,453,945,731,606,281
  5. Step 5: Solve for x
    x = 8,453,945,731,606,281/42,143,985
  6. Step 6: Final answer
    x = 200,596,733.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.