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Finding the Third Proportional to 98,420,025 and 229,953,586.50

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Solution

The third proportional to 98,420,025 and 229,953,586.50 is: 537,275,335.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,420,025 : 229,953,586.50 = 229,953,586.50 : x
  2. Step 2: Convert to fraction form
    98,420,025/229,953,586.50 = 229,953,586.50/x
  3. Step 3: Cross multiply
    98,420,025x = 229,953,586.50 × 229,953,586.50
  4. Step 4: Simplify right side
    98,420,025x = 52,878,651,944,212,984
  5. Step 5: Solve for x
    x = 52,878,651,944,212,984/98,420,025
  6. Step 6: Final answer
    x = 537,275,335.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.