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Finding the Third Proportional to 123,678,063 and 257,529,369

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Solution

The third proportional to 123,678,063 and 257,529,369 is: 536,242,032.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,678,063 : 257,529,369 = 257,529,369 : x
  2. Step 2: Convert to fraction form
    123,678,063/257,529,369 = 257,529,369/x
  3. Step 3: Cross multiply
    123,678,063x = 257,529,369 × 257,529,369
  4. Step 4: Simplify right side
    123,678,063x = 66,321,375,897,538,160
  5. Step 5: Solve for x
    x = 66,321,375,897,538,160/123,678,063
  6. Step 6: Final answer
    x = 536,242,032.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.