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Finding the Third Proportional to 219,290,497,456 and 295,874,370,600

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Solution

The third proportional to 219,290,497,456 and 295,874,370,600 is: 399,203,997,407.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,290,497,456 : 295,874,370,600 = 295,874,370,600 : x
  2. Step 2: Convert to fraction form
    219,290,497,456/295,874,370,600 = 295,874,370,600/x
  3. Step 3: Cross multiply
    219,290,497,456x = 295,874,370,600 × 295,874,370,600
  4. Step 4: Simplify right side
    219,290,497,456x = 87,541,643,177,946,144,309,248
  5. Step 5: Solve for x
    x = 87,541,643,177,946,144,309,248/219,290,497,456
  6. Step 6: Final answer
    x = 399,203,997,407.65

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.