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Finding the Third Proportional to 146,678,844 and 310,842,664

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Solution

The third proportional to 146,678,844 and 310,842,664 is: 658,739,591.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,678,844 : 310,842,664 = 310,842,664 : x
  2. Step 2: Convert to fraction form
    146,678,844/310,842,664 = 310,842,664/x
  3. Step 3: Cross multiply
    146,678,844x = 310,842,664 × 310,842,664
  4. Step 4: Simplify right side
    146,678,844x = 96,623,161,762,616,896
  5. Step 5: Solve for x
    x = 96,623,161,762,616,896/146,678,844
  6. Step 6: Final answer
    x = 658,739,591.39

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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.