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Finding the Third Proportional to 229,814,312 and 491,479,120

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Solution

The third proportional to 229,814,312 and 491,479,120 is: 1,051,073,465.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,814,312 : 491,479,120 = 491,479,120 : x
  2. Step 2: Convert to fraction form
    229,814,312/491,479,120 = 491,479,120/x
  3. Step 3: Cross multiply
    229,814,312x = 491,479,120 × 491,479,120
  4. Step 4: Simplify right side
    229,814,312x = 241,551,725,395,974,400
  5. Step 5: Solve for x
    x = 241,551,725,395,974,400/229,814,312
  6. Step 6: Final answer
    x = 1,051,073,465.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.