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Finding the Third Proportional to 102,937,081.50 and 226,600,357.50

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Solution

The third proportional to 102,937,081.50 and 226,600,357.50 is: 498,826,285.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,937,081.50 : 226,600,357.50 = 226,600,357.50 : x
  2. Step 2: Convert to fraction form
    102,937,081.50/226,600,357.50 = 226,600,357.50/x
  3. Step 3: Cross multiply
    102,937,081.50x = 226,600,357.50 × 226,600,357.50
  4. Step 4: Simplify right side
    102,937,081.50x = 51,347,722,019,127,808
  5. Step 5: Solve for x
    x = 51,347,722,019,127,808/102,937,081.50
  6. Step 6: Final answer
    x = 498,826,285.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.