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Finding the Third Proportional to 165,969,256.50 and 243,572,892.75

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Solution

The third proportional to 165,969,256.50 and 243,572,892.75 is: 357,462,311.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,969,256.50 : 243,572,892.75 = 243,572,892.75 : x
  2. Step 2: Convert to fraction form
    165,969,256.50/243,572,892.75 = 243,572,892.75/x
  3. Step 3: Cross multiply
    165,969,256.50x = 243,572,892.75 × 243,572,892.75
  4. Step 4: Simplify right side
    165,969,256.50x = 59,327,754,082,603,000
  5. Step 5: Solve for x
    x = 59,327,754,082,603,000/165,969,256.50
  6. Step 6: Final answer
    x = 357,462,311.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.