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Finding the Third Proportional to 56,900,097 and 81,309,025.50

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Solution

The third proportional to 56,900,097 and 81,309,025.50 is: 116,188,863.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,900,097 : 81,309,025.50 = 81,309,025.50 : x
  2. Step 2: Convert to fraction form
    56,900,097/81,309,025.50 = 81,309,025.50/x
  3. Step 3: Cross multiply
    56,900,097x = 81,309,025.50 × 81,309,025.50
  4. Step 4: Simplify right side
    56,900,097x = 6,611,157,627,759,650
  5. Step 5: Solve for x
    x = 6,611,157,627,759,650/56,900,097
  6. Step 6: Final answer
    x = 116,188,863.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.