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Finding the Third Proportional to 121,059,172.50 and 169,869,992.25

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Solution

The third proportional to 121,059,172.50 and 169,869,992.25 is: 238,361,238.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,059,172.50 : 169,869,992.25 = 169,869,992.25 : x
  2. Step 2: Convert to fraction form
    121,059,172.50/169,869,992.25 = 169,869,992.25/x
  3. Step 3: Cross multiply
    121,059,172.50x = 169,869,992.25 × 169,869,992.25
  4. Step 4: Simplify right side
    121,059,172.50x = 28,855,814,267,015,060
  5. Step 5: Solve for x
    x = 28,855,814,267,015,060/121,059,172.50
  6. Step 6: Final answer
    x = 238,361,238.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.