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Finding the Third Proportional to 232,649,958 and 489,367,500

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Solution

The third proportional to 232,649,958 and 489,367,500 is: 1,029,359,953.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,649,958 : 489,367,500 = 489,367,500 : x
  2. Step 2: Convert to fraction form
    232,649,958/489,367,500 = 489,367,500/x
  3. Step 3: Cross multiply
    232,649,958x = 489,367,500 × 489,367,500
  4. Step 4: Simplify right side
    232,649,958x = 239,480,550,056,249,984
  5. Step 5: Solve for x
    x = 239,480,550,056,249,984/232,649,958
  6. Step 6: Final answer
    x = 1,029,359,953.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.