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Finding the Third Proportional to 137,996,900 and 296,221,466

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Solution

The third proportional to 137,996,900 and 296,221,466 is: 635,863,247.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,996,900 : 296,221,466 = 296,221,466 : x
  2. Step 2: Convert to fraction form
    137,996,900/296,221,466 = 296,221,466/x
  3. Step 3: Cross multiply
    137,996,900x = 296,221,466 × 296,221,466
  4. Step 4: Simplify right side
    137,996,900x = 87,747,156,919,189,152
  5. Step 5: Solve for x
    x = 87,747,156,919,189,152/137,996,900
  6. Step 6: Final answer
    x = 635,863,247.07

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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.