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Finding the Third Proportional to 120,209,853 and 190,501,488

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Solution

The third proportional to 120,209,853 and 190,501,488 is: 301,895,527.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,209,853 : 190,501,488 = 190,501,488 : x
  2. Step 2: Convert to fraction form
    120,209,853/190,501,488 = 190,501,488/x
  3. Step 3: Cross multiply
    120,209,853x = 190,501,488 × 190,501,488
  4. Step 4: Simplify right side
    120,209,853x = 36,290,816,930,214,144
  5. Step 5: Solve for x
    x = 36,290,816,930,214,144/120,209,853
  6. Step 6: Final answer
    x = 301,895,527.07

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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.