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Finding the Third Proportional to 104,178,688 and 153,256,512

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Solution

The third proportional to 104,178,688 and 153,256,512 is: 225,454,542.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,178,688 : 153,256,512 = 153,256,512 : x
  2. Step 2: Convert to fraction form
    104,178,688/153,256,512 = 153,256,512/x
  3. Step 3: Cross multiply
    104,178,688x = 153,256,512 × 153,256,512
  4. Step 4: Simplify right side
    104,178,688x = 23,487,558,470,406,144
  5. Step 5: Solve for x
    x = 23,487,558,470,406,144/104,178,688
  6. Step 6: Final answer
    x = 225,454,542.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.