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Finding the Third Proportional to 46,050,471 and 100,753,537.50

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Solution

The third proportional to 46,050,471 and 100,753,537.50 is: 220,438,034.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,050,471 : 100,753,537.50 = 100,753,537.50 : x
  2. Step 2: Convert to fraction form
    46,050,471/100,753,537.50 = 100,753,537.50/x
  3. Step 3: Cross multiply
    46,050,471x = 100,753,537.50 × 100,753,537.50
  4. Step 4: Simplify right side
    46,050,471x = 10,151,275,318,763,906
  5. Step 5: Solve for x
    x = 10,151,275,318,763,906/46,050,471
  6. Step 6: Final answer
    x = 220,438,034.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.