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Finding the Third Proportional to 234,230,806 and 508,783,628

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Solution

The third proportional to 234,230,806 and 508,783,628 is: 1,105,152,582.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,230,806 : 508,783,628 = 508,783,628 : x
  2. Step 2: Convert to fraction form
    234,230,806/508,783,628 = 508,783,628/x
  3. Step 3: Cross multiply
    234,230,806x = 508,783,628 × 508,783,628
  4. Step 4: Simplify right side
    234,230,806x = 258,860,780,120,842,368
  5. Step 5: Solve for x
    x = 258,860,780,120,842,368/234,230,806
  6. Step 6: Final answer
    x = 1,105,152,582.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.