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Finding the Third Proportional to 46,178,460 and 100,394,761.50

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Solution

The third proportional to 46,178,460 and 100,394,761.50 is: 218,264,275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,178,460 : 100,394,761.50 = 100,394,761.50 : x
  2. Step 2: Convert to fraction form
    46,178,460/100,394,761.50 = 100,394,761.50/x
  3. Step 3: Cross multiply
    46,178,460x = 100,394,761.50 × 100,394,761.50
  4. Step 4: Simplify right side
    46,178,460x = 10,079,108,136,641,882
  5. Step 5: Solve for x
    x = 10,079,108,136,641,882/46,178,460
  6. Step 6: Final answer
    x = 218,264,275.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.