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Finding the Third Proportional to 240,132,159 and 523,623,288

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Solution

The third proportional to 240,132,159 and 523,623,288 is: 1,141,793,539.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,132,159 : 523,623,288 = 523,623,288 : x
  2. Step 2: Convert to fraction form
    240,132,159/523,623,288 = 523,623,288/x
  3. Step 3: Cross multiply
    240,132,159x = 523,623,288 × 523,623,288
  4. Step 4: Simplify right side
    240,132,159x = 274,181,347,735,930,944
  5. Step 5: Solve for x
    x = 274,181,347,735,930,944/240,132,159
  6. Step 6: Final answer
    x = 1,141,793,539.35

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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.