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Finding the Third Proportional to 174,059,982 and 263,332,287

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Solution

The third proportional to 174,059,982 and 263,332,287 is: 398,390,787.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,059,982 : 263,332,287 = 263,332,287 : x
  2. Step 2: Convert to fraction form
    174,059,982/263,332,287 = 263,332,287/x
  3. Step 3: Cross multiply
    174,059,982x = 263,332,287 × 263,332,287
  4. Step 4: Simplify right side
    174,059,982x = 69,343,893,376,650,368
  5. Step 5: Solve for x
    x = 69,343,893,376,650,368/174,059,982
  6. Step 6: Final answer
    x = 398,390,787.93

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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.