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Finding the Third Proportional to 138,457,830 and 295,447,524

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Solution

The third proportional to 138,457,830 and 295,447,524 is: 630,439,170.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,457,830 : 295,447,524 = 295,447,524 : x
  2. Step 2: Convert to fraction form
    138,457,830/295,447,524 = 295,447,524/x
  3. Step 3: Cross multiply
    138,457,830x = 295,447,524 × 295,447,524
  4. Step 4: Simplify right side
    138,457,830x = 87,289,239,437,730,576
  5. Step 5: Solve for x
    x = 87,289,239,437,730,576/138,457,830
  6. Step 6: Final answer
    x = 630,439,170.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.