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Finding the Third Proportional to 162,403,219.50 and 383,255,109

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Solution

The third proportional to 162,403,219.50 and 383,255,109 is: 904,443,144.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,403,219.50 : 383,255,109 = 383,255,109 : x
  2. Step 2: Convert to fraction form
    162,403,219.50/383,255,109 = 383,255,109/x
  3. Step 3: Cross multiply
    162,403,219.50x = 383,255,109 × 383,255,109
  4. Step 4: Simplify right side
    162,403,219.50x = 146,884,478,574,601,888
  5. Step 5: Solve for x
    x = 146,884,478,574,601,888/162,403,219.50
  6. Step 6: Final answer
    x = 904,443,144.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.