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Finding the Third Proportional to 285,534,526 and 385,253,114

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Solution

The third proportional to 285,534,526 and 385,253,114 is: 519,796,901.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,534,526 : 385,253,114 = 385,253,114 : x
  2. Step 2: Convert to fraction form
    285,534,526/385,253,114 = 385,253,114/x
  3. Step 3: Cross multiply
    285,534,526x = 385,253,114 × 385,253,114
  4. Step 4: Simplify right side
    285,534,526x = 148,419,961,846,696,992
  5. Step 5: Solve for x
    x = 148,419,961,846,696,992/285,534,526
  6. Step 6: Final answer
    x = 519,796,901.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.