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Finding the Third Proportional to 234,341,514 and 510,343,190

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Solution

The third proportional to 234,341,514 and 510,343,190 is: 1,111,412,856.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,341,514 : 510,343,190 = 510,343,190 : x
  2. Step 2: Convert to fraction form
    234,341,514/510,343,190 = 510,343,190/x
  3. Step 3: Cross multiply
    234,341,514x = 510,343,190 × 510,343,190
  4. Step 4: Simplify right side
    234,341,514x = 260,450,171,579,376,096
  5. Step 5: Solve for x
    x = 260,450,171,579,376,096/234,341,514
  6. Step 6: Final answer
    x = 1,111,412,856.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.