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Finding the Third Proportional to 146,565,523.50 and 223,286,829

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Solution

The third proportional to 146,565,523.50 and 223,286,829 is: 340,168,730.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,565,523.50 : 223,286,829 = 223,286,829 : x
  2. Step 2: Convert to fraction form
    146,565,523.50/223,286,829 = 223,286,829/x
  3. Step 3: Cross multiply
    146,565,523.50x = 223,286,829 × 223,286,829
  4. Step 4: Simplify right side
    146,565,523.50x = 49,857,008,004,875,240
  5. Step 5: Solve for x
    x = 49,857,008,004,875,240/146,565,523.50
  6. Step 6: Final answer
    x = 340,168,730.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.