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Finding the Third Proportional to 137,044,816 and 295,932,228

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Solution

The third proportional to 137,044,816 and 295,932,228 is: 639,030,983.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,044,816 : 295,932,228 = 295,932,228 : x
  2. Step 2: Convert to fraction form
    137,044,816/295,932,228 = 295,932,228/x
  3. Step 3: Cross multiply
    137,044,816x = 295,932,228 × 295,932,228
  4. Step 4: Simplify right side
    137,044,816x = 87,575,883,569,043,984
  5. Step 5: Solve for x
    x = 87,575,883,569,043,984/137,044,816
  6. Step 6: Final answer
    x = 639,030,983.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.