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Finding the Third Proportional to 138,457,801 and 295,447,466

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Solution

The third proportional to 138,457,801 and 295,447,466 is: 630,439,054.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,457,801 : 295,447,466 = 295,447,466 : x
  2. Step 2: Convert to fraction form
    138,457,801/295,447,466 = 295,447,466/x
  3. Step 3: Cross multiply
    138,457,801x = 295,447,466 × 295,447,466
  4. Step 4: Simplify right side
    138,457,801x = 87,289,205,165,821,152
  5. Step 5: Solve for x
    x = 87,289,205,165,821,152/138,457,801
  6. Step 6: Final answer
    x = 630,439,054.61

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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.