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Finding the Third Proportional to 245,279,028 and 534,103,688

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Solution

The third proportional to 245,279,028 and 534,103,688 is: 1,163,029,517.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,279,028 : 534,103,688 = 534,103,688 : x
  2. Step 2: Convert to fraction form
    245,279,028/534,103,688 = 534,103,688/x
  3. Step 3: Cross multiply
    245,279,028x = 534,103,688 × 534,103,688
  4. Step 4: Simplify right side
    245,279,028x = 285,266,749,535,201,344
  5. Step 5: Solve for x
    x = 285,266,749,535,201,344/245,279,028
  6. Step 6: Final answer
    x = 1,163,029,517.29

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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.