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Finding the Third Proportional to 248,894,114 and 358,516,227

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Solution

The third proportional to 248,894,114 and 358,516,227 is: 516,419,946.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,894,114 : 358,516,227 = 358,516,227 : x
  2. Step 2: Convert to fraction form
    248,894,114/358,516,227 = 358,516,227/x
  3. Step 3: Cross multiply
    248,894,114x = 358,516,227 × 358,516,227
  4. Step 4: Simplify right side
    248,894,114x = 128,533,885,022,315,536
  5. Step 5: Solve for x
    x = 128,533,885,022,315,536/248,894,114
  6. Step 6: Final answer
    x = 516,419,946.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.