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Finding the Third Proportional to 161,161,066.88 and 345,298,619.25

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Solution

The third proportional to 161,161,066.88 and 345,298,619.25 is: 739,825,931.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,161,066.88 : 345,298,619.25 = 345,298,619.25 : x
  2. Step 2: Convert to fraction form
    161,161,066.88/345,298,619.25 = 345,298,619.25/x
  3. Step 3: Cross multiply
    161,161,066.88x = 345,298,619.25 × 345,298,619.25
  4. Step 4: Simplify right side
    161,161,066.88x = 119,231,136,455,956,464
  5. Step 5: Solve for x
    x = 119,231,136,455,956,464/161,161,066.88
  6. Step 6: Final answer
    x = 739,825,931.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.