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Finding the Third Proportional to 104,572,352 and 229,782,532

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Solution

The third proportional to 104,572,352 and 229,782,532 is: 504,913,688.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,572,352 : 229,782,532 = 229,782,532 : x
  2. Step 2: Convert to fraction form
    104,572,352/229,782,532 = 229,782,532/x
  3. Step 3: Cross multiply
    104,572,352x = 229,782,532 × 229,782,532
  4. Step 4: Simplify right side
    104,572,352x = 52,800,012,012,331,024
  5. Step 5: Solve for x
    x = 52,800,012,012,331,024/104,572,352
  6. Step 6: Final answer
    x = 504,913,688.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.