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Finding the Third Proportional to 177,104,393 and 277,799,360

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Solution

The third proportional to 177,104,393 and 277,799,360 is: 435,745,737.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,104,393 : 277,799,360 = 277,799,360 : x
  2. Step 2: Convert to fraction form
    177,104,393/277,799,360 = 277,799,360/x
  3. Step 3: Cross multiply
    177,104,393x = 277,799,360 × 277,799,360
  4. Step 4: Simplify right side
    177,104,393x = 77,172,484,416,409,600
  5. Step 5: Solve for x
    x = 77,172,484,416,409,600/177,104,393
  6. Step 6: Final answer
    x = 435,745,737.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.