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Finding the Third Proportional to 72,771,096 and 159,215,424

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Solution

The third proportional to 72,771,096 and 159,215,424 is: 348,346,426.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,771,096 : 159,215,424 = 159,215,424 : x
  2. Step 2: Convert to fraction form
    72,771,096/159,215,424 = 159,215,424/x
  3. Step 3: Cross multiply
    72,771,096x = 159,215,424 × 159,215,424
  4. Step 4: Simplify right side
    72,771,096x = 25,349,551,239,499,776
  5. Step 5: Solve for x
    x = 25,349,551,239,499,776/72,771,096
  6. Step 6: Final answer
    x = 348,346,426.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.