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Finding the Third Proportional to 296,138,639,319 and 451,146,732,610.50

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Solution

The third proportional to 296,138,639,319 and 451,146,732,610.50 is: 687,290,840,577.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,138,639,319 : 451,146,732,610.50 = 451,146,732,610.50 : x
  2. Step 2: Convert to fraction form
    296,138,639,319/451,146,732,610.50 = 451,146,732,610.50/x
  3. Step 3: Cross multiply
    296,138,639,319x = 451,146,732,610.50 × 451,146,732,610.50
  4. Step 4: Simplify right side
    296,138,639,319x = 203,533,374,345,129,981,116,416
  5. Step 5: Solve for x
    x = 203,533,374,345,129,981,116,416/296,138,639,319
  6. Step 6: Final answer
    x = 687,290,840,577.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.