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Finding the Third Proportional to 64,825,930.13 and 98,885,296.13

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Solution

The third proportional to 64,825,930.13 and 98,885,296.13 is: 150,839,359.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,825,930.13 : 98,885,296.13 = 98,885,296.13 : x
  2. Step 2: Convert to fraction form
    64,825,930.13/98,885,296.13 = 98,885,296.13/x
  3. Step 3: Cross multiply
    64,825,930.13x = 98,885,296.13 × 98,885,296.13
  4. Step 4: Simplify right side
    64,825,930.13x = 9,778,301,789,728,940
  5. Step 5: Solve for x
    x = 9,778,301,789,728,940/64,825,930.13
  6. Step 6: Final answer
    x = 150,839,359.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.