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Finding the Third Proportional to 132,648,524 and 285,452,440

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Solution

The third proportional to 132,648,524 and 285,452,440 is: 614,278,192.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,648,524 : 285,452,440 = 285,452,440 : x
  2. Step 2: Convert to fraction form
    132,648,524/285,452,440 = 285,452,440/x
  3. Step 3: Cross multiply
    132,648,524x = 285,452,440 × 285,452,440
  4. Step 4: Simplify right side
    132,648,524x = 81,483,095,501,953,600
  5. Step 5: Solve for x
    x = 81,483,095,501,953,600/132,648,524
  6. Step 6: Final answer
    x = 614,278,192.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.