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Finding the Third Proportional to 120,209,848.50 and 190,501,480.50

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Solution

The third proportional to 120,209,848.50 and 190,501,480.50 is: 301,895,514.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,209,848.50 : 190,501,480.50 = 190,501,480.50 : x
  2. Step 2: Convert to fraction form
    120,209,848.50/190,501,480.50 = 190,501,480.50/x
  3. Step 3: Cross multiply
    120,209,848.50x = 190,501,480.50 × 190,501,480.50
  4. Step 4: Simplify right side
    120,209,848.50x = 36,290,814,072,691,880
  5. Step 5: Solve for x
    x = 36,290,814,072,691,880/120,209,848.50
  6. Step 6: Final answer
    x = 301,895,514.60

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.