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Finding the Third Proportional to 165,610,939.50 and 259,817,473.13

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Solution

The third proportional to 165,610,939.50 and 259,817,473.13 is: 407,612,682.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,610,939.50 : 259,817,473.13 = 259,817,473.13 : x
  2. Step 2: Convert to fraction form
    165,610,939.50/259,817,473.13 = 259,817,473.13/x
  3. Step 3: Cross multiply
    165,610,939.50x = 259,817,473.13 × 259,817,473.13
  4. Step 4: Simplify right side
    165,610,939.50x = 67,505,119,341,060,096
  5. Step 5: Solve for x
    x = 67,505,119,341,060,096/165,610,939.50
  6. Step 6: Final answer
    x = 407,612,682.74

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.