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Finding the Third Proportional to 152,520,372 and 214,782,292

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Solution

The third proportional to 152,520,372 and 214,782,292 is: 302,460,794.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,520,372 : 214,782,292 = 214,782,292 : x
  2. Step 2: Convert to fraction form
    152,520,372/214,782,292 = 214,782,292/x
  3. Step 3: Cross multiply
    152,520,372x = 214,782,292 × 214,782,292
  4. Step 4: Simplify right side
    152,520,372x = 46,131,432,956,773,264
  5. Step 5: Solve for x
    x = 46,131,432,956,773,264/152,520,372
  6. Step 6: Final answer
    x = 302,460,794.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.