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Finding the Third Proportional to 58,162,468 and 122,341,832

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Solution

The third proportional to 58,162,468 and 122,341,832 is: 257,339,902.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,162,468 : 122,341,832 = 122,341,832 : x
  2. Step 2: Convert to fraction form
    58,162,468/122,341,832 = 122,341,832/x
  3. Step 3: Cross multiply
    58,162,468x = 122,341,832 × 122,341,832
  4. Step 4: Simplify right side
    58,162,468x = 14,967,523,857,116,224
  5. Step 5: Solve for x
    x = 14,967,523,857,116,224/58,162,468
  6. Step 6: Final answer
    x = 257,339,902.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.