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Finding the Third Proportional to 167,949,068,300 and 370,131,506,481

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Solution

The third proportional to 167,949,068,300 and 370,131,506,481 is: 815,707,603,957.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,949,068,300 : 370,131,506,481 = 370,131,506,481 : x
  2. Step 2: Convert to fraction form
    167,949,068,300/370,131,506,481 = 370,131,506,481/x
  3. Step 3: Cross multiply
    167,949,068,300x = 370,131,506,481 × 370,131,506,481
  4. Step 4: Simplify right side
    167,949,068,300x = 136,997,332,089,894,539,886,592
  5. Step 5: Solve for x
    x = 136,997,332,089,894,539,886,592/167,949,068,300
  6. Step 6: Final answer
    x = 815,707,603,957.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.