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Finding the Third Proportional to 177,265,152 and 277,095,168

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Solution

The third proportional to 177,265,152 and 277,095,168 is: 433,146,229.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,265,152 : 277,095,168 = 277,095,168 : x
  2. Step 2: Convert to fraction form
    177,265,152/277,095,168 = 277,095,168/x
  3. Step 3: Cross multiply
    177,265,152x = 277,095,168 × 277,095,168
  4. Step 4: Simplify right side
    177,265,152x = 76,781,732,128,948,224
  5. Step 5: Solve for x
    x = 76,781,732,128,948,224/177,265,152
  6. Step 6: Final answer
    x = 433,146,229.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.