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Finding the Third Proportional to 146,565,526 and 223,286,833

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Solution

The third proportional to 146,565,526 and 223,286,833 is: 340,168,736.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,565,526 : 223,286,833 = 223,286,833 : x
  2. Step 2: Convert to fraction form
    146,565,526/223,286,833 = 223,286,833/x
  3. Step 3: Cross multiply
    146,565,526x = 223,286,833 × 223,286,833
  4. Step 4: Simplify right side
    146,565,526x = 49,857,009,791,169,888
  5. Step 5: Solve for x
    x = 49,857,009,791,169,888/146,565,526
  6. Step 6: Final answer
    x = 340,168,736.48

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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.