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Finding the Third Proportional to 86,136,670 and 132,398,247.50

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Solution

The third proportional to 86,136,670 and 132,398,247.50 is: 203,505,614.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,136,670 : 132,398,247.50 = 132,398,247.50 : x
  2. Step 2: Convert to fraction form
    86,136,670/132,398,247.50 = 132,398,247.50/x
  3. Step 3: Cross multiply
    86,136,670x = 132,398,247.50 × 132,398,247.50
  4. Step 4: Simplify right side
    86,136,670x = 17,529,295,941,071,256
  5. Step 5: Solve for x
    x = 17,529,295,941,071,256/86,136,670
  6. Step 6: Final answer
    x = 203,505,614.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.