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Finding the Third Proportional to 84,073,545 and 181,112,274

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Solution

The third proportional to 84,073,545 and 181,112,274 is: 390,154,308.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,073,545 : 181,112,274 = 181,112,274 : x
  2. Step 2: Convert to fraction form
    84,073,545/181,112,274 = 181,112,274/x
  3. Step 3: Cross multiply
    84,073,545x = 181,112,274 × 181,112,274
  4. Step 4: Simplify right side
    84,073,545x = 32,801,655,793,451,076
  5. Step 5: Solve for x
    x = 32,801,655,793,451,076/84,073,545
  6. Step 6: Final answer
    x = 390,154,308.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.