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Finding the Third Proportional to 235,279,541 and 355,945,320

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Solution

The third proportional to 235,279,541 and 355,945,320 is: 538,495,911.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,279,541 : 355,945,320 = 355,945,320 : x
  2. Step 2: Convert to fraction form
    235,279,541/355,945,320 = 355,945,320/x
  3. Step 3: Cross multiply
    235,279,541x = 355,945,320 × 355,945,320
  4. Step 4: Simplify right side
    235,279,541x = 126,697,070,829,902,400
  5. Step 5: Solve for x
    x = 126,697,070,829,902,400/235,279,541
  6. Step 6: Final answer
    x = 538,495,911.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.