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Finding the Third Proportional to 138,457,800 and 295,447,464

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Solution

The third proportional to 138,457,800 and 295,447,464 is: 630,439,050.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,457,800 : 295,447,464 = 295,447,464 : x
  2. Step 2: Convert to fraction form
    138,457,800/295,447,464 = 295,447,464/x
  3. Step 3: Cross multiply
    138,457,800x = 295,447,464 × 295,447,464
  4. Step 4: Simplify right side
    138,457,800x = 87,289,203,984,031,296
  5. Step 5: Solve for x
    x = 87,289,203,984,031,296/138,457,800
  6. Step 6: Final answer
    x = 630,439,050.63

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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.