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Finding the Third Proportional to 80,219,346.50 and 175,817,267.50

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Solution

The third proportional to 80,219,346.50 and 175,817,267.50 is: 385,339,857.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,219,346.50 : 175,817,267.50 = 175,817,267.50 : x
  2. Step 2: Convert to fraction form
    80,219,346.50/175,817,267.50 = 175,817,267.50/x
  3. Step 3: Cross multiply
    80,219,346.50x = 175,817,267.50 × 175,817,267.50
  4. Step 4: Simplify right side
    80,219,346.50x = 30,911,711,551,166,556
  5. Step 5: Solve for x
    x = 30,911,711,551,166,556/80,219,346.50
  6. Step 6: Final answer
    x = 385,339,857.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.