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Finding the Third Proportional to 96,230,754 and 139,036,851

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Solution

The third proportional to 96,230,754 and 139,036,851 is: 200,884,282.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,230,754 : 139,036,851 = 139,036,851 : x
  2. Step 2: Convert to fraction form
    96,230,754/139,036,851 = 139,036,851/x
  3. Step 3: Cross multiply
    96,230,754x = 139,036,851 × 139,036,851
  4. Step 4: Simplify right side
    96,230,754x = 19,331,245,935,996,200
  5. Step 5: Solve for x
    x = 19,331,245,935,996,200/96,230,754
  6. Step 6: Final answer
    x = 200,884,282.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.