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Finding the Third Proportional to 155,219,264 and 258,683,184

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Solution

The third proportional to 155,219,264 and 258,683,184 is: 431,112,659.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,219,264 : 258,683,184 = 258,683,184 : x
  2. Step 2: Convert to fraction form
    155,219,264/258,683,184 = 258,683,184/x
  3. Step 3: Cross multiply
    155,219,264x = 258,683,184 × 258,683,184
  4. Step 4: Simplify right side
    155,219,264x = 66,916,989,684,377,856
  5. Step 5: Solve for x
    x = 66,916,989,684,377,856/155,219,264
  6. Step 6: Final answer
    x = 431,112,659.34

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.