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Finding the Third Proportional to 350,222,872 and 537,203,160

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Solution

The third proportional to 350,222,872 and 537,203,160 is: 824,010,246.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,222,872 : 537,203,160 = 537,203,160 : x
  2. Step 2: Convert to fraction form
    350,222,872/537,203,160 = 537,203,160/x
  3. Step 3: Cross multiply
    350,222,872x = 537,203,160 × 537,203,160
  4. Step 4: Simplify right side
    350,222,872x = 288,587,235,113,985,600
  5. Step 5: Solve for x
    x = 288,587,235,113,985,600/350,222,872
  6. Step 6: Final answer
    x = 824,010,246.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.