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Finding the Third Proportional to 153,991,051 and 320,720,283

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Solution

The third proportional to 153,991,051 and 320,720,283 is: 667,970,633.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,991,051 : 320,720,283 = 320,720,283 : x
  2. Step 2: Convert to fraction form
    153,991,051/320,720,283 = 320,720,283/x
  3. Step 3: Cross multiply
    153,991,051x = 320,720,283 × 320,720,283
  4. Step 4: Simplify right side
    153,991,051x = 102,861,499,927,600,096
  5. Step 5: Solve for x
    x = 102,861,499,927,600,096/153,991,051
  6. Step 6: Final answer
    x = 667,970,633.75

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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.