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Finding the Third Proportional to 56,090,538 and 86,161,936.50

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Solution

The third proportional to 56,090,538 and 86,161,936.50 is: 132,355,287.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,090,538 : 86,161,936.50 = 86,161,936.50 : x
  2. Step 2: Convert to fraction form
    56,090,538/86,161,936.50 = 86,161,936.50/x
  3. Step 3: Cross multiply
    56,090,538x = 86,161,936.50 × 86,161,936.50
  4. Step 4: Simplify right side
    56,090,538x = 7,423,879,301,430,032
  5. Step 5: Solve for x
    x = 7,423,879,301,430,032/56,090,538
  6. Step 6: Final answer
    x = 132,355,287.83

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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.