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Finding the Third Proportional to 107,487,675,280 and 232,861,263,152

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Solution

The third proportional to 107,487,675,280 and 232,861,263,152 is: 504,470,561,257.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,487,675,280 : 232,861,263,152 = 232,861,263,152 : x
  2. Step 2: Convert to fraction form
    107,487,675,280/232,861,263,152 = 232,861,263,152/x
  3. Step 3: Cross multiply
    107,487,675,280x = 232,861,263,152 × 232,861,263,152
  4. Step 4: Simplify right side
    107,487,675,280x = 54,224,367,876,744,989,900,800
  5. Step 5: Solve for x
    x = 54,224,367,876,744,989,900,800/107,487,675,280
  6. Step 6: Final answer
    x = 504,470,561,257.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.