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Finding the Third Proportional to 230,173,140 and 493,177,496

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Solution

The third proportional to 230,173,140 and 493,177,496 is: 1,056,700,371.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,173,140 : 493,177,496 = 493,177,496 : x
  2. Step 2: Convert to fraction form
    230,173,140/493,177,496 = 493,177,496/x
  3. Step 3: Cross multiply
    230,173,140x = 493,177,496 × 493,177,496
  4. Step 4: Simplify right side
    230,173,140x = 243,224,042,560,830,016
  5. Step 5: Solve for x
    x = 243,224,042,560,830,016/230,173,140
  6. Step 6: Final answer
    x = 1,056,700,371.56

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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.