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Finding the Third Proportional to 102,427,557.50 and 225,285,492

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Solution

The third proportional to 102,427,557.50 and 225,285,492 is: 495,506,816.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,427,557.50 : 225,285,492 = 225,285,492 : x
  2. Step 2: Convert to fraction form
    102,427,557.50/225,285,492 = 225,285,492/x
  3. Step 3: Cross multiply
    102,427,557.50x = 225,285,492 × 225,285,492
  4. Step 4: Simplify right side
    102,427,557.50x = 50,753,552,905,682,064
  5. Step 5: Solve for x
    x = 50,753,552,905,682,064/102,427,557.50
  6. Step 6: Final answer
    x = 495,506,816.18

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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.