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Finding the Third Proportional to 96,487,710.75 and 149,089,509

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Solution

The third proportional to 96,487,710.75 and 149,089,509 is: 230,368,007.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,487,710.75 : 149,089,509 = 149,089,509 : x
  2. Step 2: Convert to fraction form
    96,487,710.75/149,089,509 = 149,089,509/x
  3. Step 3: Cross multiply
    96,487,710.75x = 149,089,509 × 149,089,509
  4. Step 4: Simplify right side
    96,487,710.75x = 22,227,681,693,861,080
  5. Step 5: Solve for x
    x = 22,227,681,693,861,080/96,487,710.75
  6. Step 6: Final answer
    x = 230,368,007.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.