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Finding the Third Proportional to 229,323,770 and 498,956,164

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Solution

The third proportional to 229,323,770 and 498,956,164 is: 1,085,614,690.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,323,770 : 498,956,164 = 498,956,164 : x
  2. Step 2: Convert to fraction form
    229,323,770/498,956,164 = 498,956,164/x
  3. Step 3: Cross multiply
    229,323,770x = 498,956,164 × 498,956,164
  4. Step 4: Simplify right side
    229,323,770x = 248,957,253,593,594,880
  5. Step 5: Solve for x
    x = 248,957,253,593,594,880/229,323,770
  6. Step 6: Final answer
    x = 1,085,614,690.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.