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Finding the Third Proportional to 146,353,252 and 289,005,128

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Solution

The third proportional to 146,353,252 and 289,005,128 is: 570,701,114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,353,252 : 289,005,128 = 289,005,128 : x
  2. Step 2: Convert to fraction form
    146,353,252/289,005,128 = 289,005,128/x
  3. Step 3: Cross multiply
    146,353,252x = 289,005,128 × 289,005,128
  4. Step 4: Simplify right side
    146,353,252x = 83,523,964,010,296,384
  5. Step 5: Solve for x
    x = 83,523,964,010,296,384/146,353,252
  6. Step 6: Final answer
    x = 570,701,114.39

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.