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Finding the Third Proportional to 78,163,967.25 and 167,062,277.25

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Solution

The third proportional to 78,163,967.25 and 167,062,277.25 is: 357,067,398.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,163,967.25 : 167,062,277.25 = 167,062,277.25 : x
  2. Step 2: Convert to fraction form
    78,163,967.25/167,062,277.25 = 167,062,277.25/x
  3. Step 3: Cross multiply
    78,163,967.25x = 167,062,277.25 × 167,062,277.25
  4. Step 4: Simplify right side
    78,163,967.25x = 27,909,804,479,955,868
  5. Step 5: Solve for x
    x = 27,909,804,479,955,868/78,163,967.25
  6. Step 6: Final answer
    x = 357,067,398.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.