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Finding the Third Proportional to 248,894,113 and 358,516,225

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Solution

The third proportional to 248,894,113 and 358,516,225 is: 516,419,942.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,894,113 : 358,516,225 = 358,516,225 : x
  2. Step 2: Convert to fraction form
    248,894,113/358,516,225 = 358,516,225/x
  3. Step 3: Cross multiply
    248,894,113x = 358,516,225 × 358,516,225
  4. Step 4: Simplify right side
    248,894,113x = 128,533,883,588,250,624
  5. Step 5: Solve for x
    x = 128,533,883,588,250,624/248,894,113
  6. Step 6: Final answer
    x = 516,419,942.76

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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.