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Finding the Third Proportional to 146,678,848 and 310,842,672

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Solution

The third proportional to 146,678,848 and 310,842,672 is: 658,739,607.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,678,848 : 310,842,672 = 310,842,672 : x
  2. Step 2: Convert to fraction form
    146,678,848/310,842,672 = 310,842,672/x
  3. Step 3: Cross multiply
    146,678,848x = 310,842,672 × 310,842,672
  4. Step 4: Simplify right side
    146,678,848x = 96,623,166,736,099,584
  5. Step 5: Solve for x
    x = 96,623,166,736,099,584/146,678,848
  6. Step 6: Final answer
    x = 658,739,607.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.