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Finding the Third Proportional to 129,576,853.50 and 183,347,281.50

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Solution

The third proportional to 129,576,853.50 and 183,347,281.50 is: 259,430,791.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,576,853.50 : 183,347,281.50 = 183,347,281.50 : x
  2. Step 2: Convert to fraction form
    129,576,853.50/183,347,281.50 = 183,347,281.50/x
  3. Step 3: Cross multiply
    129,576,853.50x = 183,347,281.50 × 183,347,281.50
  4. Step 4: Simplify right side
    129,576,853.50x = 33,616,225,633,440,244
  5. Step 5: Solve for x
    x = 33,616,225,633,440,244/129,576,853.50
  6. Step 6: Final answer
    x = 259,430,791.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.