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Finding the Third Proportional to 132,402,064 and 206,649,636

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Solution

The third proportional to 132,402,064 and 206,649,636 is: 322,533,280.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,402,064 : 206,649,636 = 206,649,636 : x
  2. Step 2: Convert to fraction form
    132,402,064/206,649,636 = 206,649,636/x
  3. Step 3: Cross multiply
    132,402,064x = 206,649,636 × 206,649,636
  4. Step 4: Simplify right side
    132,402,064x = 42,704,072,058,932,496
  5. Step 5: Solve for x
    x = 42,704,072,058,932,496/132,402,064
  6. Step 6: Final answer
    x = 322,533,280.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.