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Finding the Third Proportional to 86,686,405.88 and 127,155,850.31

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Solution

The third proportional to 86,686,405.88 and 127,155,850.31 is: 186,518,406.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,686,405.88 : 127,155,850.31 = 127,155,850.31 : x
  2. Step 2: Convert to fraction form
    86,686,405.88/127,155,850.31 = 127,155,850.31/x
  3. Step 3: Cross multiply
    86,686,405.88x = 127,155,850.31 × 127,155,850.31
  4. Step 4: Simplify right side
    86,686,405.88x = 16,168,610,268,694,906
  5. Step 5: Solve for x
    x = 16,168,610,268,694,906/86,686,405.88
  6. Step 6: Final answer
    x = 186,518,406.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.