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Finding the Third Proportional to 190,875,720 and 302,729,202

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Solution

The third proportional to 190,875,720 and 302,729,202 is: 480,129,006.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,875,720 : 302,729,202 = 302,729,202 : x
  2. Step 2: Convert to fraction form
    190,875,720/302,729,202 = 302,729,202/x
  3. Step 3: Cross multiply
    190,875,720x = 302,729,202 × 302,729,202
  4. Step 4: Simplify right side
    190,875,720x = 91,644,969,743,556,800
  5. Step 5: Solve for x
    x = 91,644,969,743,556,800/190,875,720
  6. Step 6: Final answer
    x = 480,129,006.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.