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Finding the Third Proportional to 195,031,140 and 406,204,896

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Solution

The third proportional to 195,031,140 and 406,204,896 is: 846,031,139.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,031,140 : 406,204,896 = 406,204,896 : x
  2. Step 2: Convert to fraction form
    195,031,140/406,204,896 = 406,204,896/x
  3. Step 3: Cross multiply
    195,031,140x = 406,204,896 × 406,204,896
  4. Step 4: Simplify right side
    195,031,140x = 165,002,417,534,370,816
  5. Step 5: Solve for x
    x = 165,002,417,534,370,816/195,031,140
  6. Step 6: Final answer
    x = 846,031,139.10

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.