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Finding the Third Proportional to 127,584,136.50 and 278,260,137.75

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Solution

The third proportional to 127,584,136.50 and 278,260,137.75 is: 606,883,476.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,584,136.50 : 278,260,137.75 = 278,260,137.75 : x
  2. Step 2: Convert to fraction form
    127,584,136.50/278,260,137.75 = 278,260,137.75/x
  3. Step 3: Cross multiply
    127,584,136.50x = 278,260,137.75 × 278,260,137.75
  4. Step 4: Simplify right side
    127,584,136.50x = 77,428,704,260,648,976
  5. Step 5: Solve for x
    x = 77,428,704,260,648,976/127,584,136.50
  6. Step 6: Final answer
    x = 606,883,476.15

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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.