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Finding the Third Proportional to 108,190,102.50 and 255,142,299.50

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Solution

The third proportional to 108,190,102.50 and 255,142,299.50 is: 601,696,379.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,190,102.50 : 255,142,299.50 = 255,142,299.50 : x
  2. Step 2: Convert to fraction form
    108,190,102.50/255,142,299.50 = 255,142,299.50/x
  3. Step 3: Cross multiply
    108,190,102.50x = 255,142,299.50 × 255,142,299.50
  4. Step 4: Simplify right side
    108,190,102.50x = 65,097,592,994,147,704
  5. Step 5: Solve for x
    x = 65,097,592,994,147,704/108,190,102.50
  6. Step 6: Final answer
    x = 601,696,379.70

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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.