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Finding the Third Proportional to 78,163,944 and 167,062,231

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Solution

The third proportional to 78,163,944 and 167,062,231 is: 357,067,307.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,163,944 : 167,062,231 = 167,062,231 : x
  2. Step 2: Convert to fraction form
    78,163,944/167,062,231 = 167,062,231/x
  3. Step 3: Cross multiply
    78,163,944x = 167,062,231 × 167,062,231
  4. Step 4: Simplify right side
    78,163,944x = 27,909,789,026,697,360
  5. Step 5: Solve for x
    x = 27,909,789,026,697,360/78,163,944
  6. Step 6: Final answer
    x = 357,067,307.49

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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.