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Finding the Third Proportional to 138,898,604.25 and 296,244,553.50

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Solution

The third proportional to 138,898,604.25 and 296,244,553.50 is: 631,833,818.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,898,604.25 : 296,244,553.50 = 296,244,553.50 : x
  2. Step 2: Convert to fraction form
    138,898,604.25/296,244,553.50 = 296,244,553.50/x
  3. Step 3: Cross multiply
    138,898,604.25x = 296,244,553.50 × 296,244,553.50
  4. Step 4: Simplify right side
    138,898,604.25x = 87,760,835,478,414,368
  5. Step 5: Solve for x
    x = 87,760,835,478,414,368/138,898,604.25
  6. Step 6: Final answer
    x = 631,833,818.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.