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Finding the Third Proportional to 321,983,500 and 502,107,108

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Solution

The third proportional to 321,983,500 and 502,107,108 is: 782,995,240.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,983,500 : 502,107,108 = 502,107,108 : x
  2. Step 2: Convert to fraction form
    321,983,500/502,107,108 = 502,107,108/x
  3. Step 3: Cross multiply
    321,983,500x = 502,107,108 × 502,107,108
  4. Step 4: Simplify right side
    321,983,500x = 252,111,547,904,123,648
  5. Step 5: Solve for x
    x = 252,111,547,904,123,648/321,983,500
  6. Step 6: Final answer
    x = 782,995,240.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.