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Finding the Third Proportional to 146,280,610 and 314,575,940

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Solution

The third proportional to 146,280,610 and 314,575,940 is: 676,494,458.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,280,610 : 314,575,940 = 314,575,940 : x
  2. Step 2: Convert to fraction form
    146,280,610/314,575,940 = 314,575,940/x
  3. Step 3: Cross multiply
    146,280,610x = 314,575,940 × 314,575,940
  4. Step 4: Simplify right side
    146,280,610x = 98,958,022,026,883,600
  5. Step 5: Solve for x
    x = 98,958,022,026,883,600/146,280,610
  6. Step 6: Final answer
    x = 676,494,458.34

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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.