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Finding the Third Proportional to 120,688,051.50 and 181,032,169.50

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Solution

The third proportional to 120,688,051.50 and 181,032,169.50 is: 271,548,392.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,688,051.50 : 181,032,169.50 = 181,032,169.50 : x
  2. Step 2: Convert to fraction form
    120,688,051.50/181,032,169.50 = 181,032,169.50/x
  3. Step 3: Cross multiply
    120,688,051.50x = 181,032,169.50 × 181,032,169.50
  4. Step 4: Simplify right side
    120,688,051.50x = 32,772,646,393,876,732
  5. Step 5: Solve for x
    x = 32,772,646,393,876,732/120,688,051.50
  6. Step 6: Final answer
    x = 271,548,392.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.