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Finding the Third Proportional to 230,173,024 and 493,177,288

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Solution

The third proportional to 230,173,024 and 493,177,288 is: 1,056,700,012.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,173,024 : 493,177,288 = 493,177,288 : x
  2. Step 2: Convert to fraction form
    230,173,024/493,177,288 = 493,177,288/x
  3. Step 3: Cross multiply
    230,173,024x = 493,177,288 × 493,177,288
  4. Step 4: Simplify right side
    230,173,024x = 243,223,837,399,034,944
  5. Step 5: Solve for x
    x = 243,223,837,399,034,944/230,173,024
  6. Step 6: Final answer
    x = 1,056,700,012.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.