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Finding the Third Proportional to 61,328,576.25 and 135,101,182.50

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Solution

The third proportional to 61,328,576.25 and 135,101,182.50 is: 297,615,412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,328,576.25 : 135,101,182.50 = 135,101,182.50 : x
  2. Step 2: Convert to fraction form
    61,328,576.25/135,101,182.50 = 135,101,182.50/x
  3. Step 3: Cross multiply
    61,328,576.25x = 135,101,182.50 × 135,101,182.50
  4. Step 4: Simplify right side
    61,328,576.25x = 18,252,329,512,898,308
  5. Step 5: Solve for x
    x = 18,252,329,512,898,308/61,328,576.25
  6. Step 6: Final answer
    x = 297,615,412.41

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.