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Finding the Third Proportional to 75,486,925.69 and 165,104,056.69

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Solution

The third proportional to 75,486,925.69 and 165,104,056.69 is: 361,113,521.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,486,925.69 : 165,104,056.69 = 165,104,056.69 : x
  2. Step 2: Convert to fraction form
    75,486,925.69/165,104,056.69 = 165,104,056.69/x
  3. Step 3: Cross multiply
    75,486,925.69x = 165,104,056.69 × 165,104,056.69
  4. Step 4: Simplify right side
    75,486,925.69x = 27,259,349,534,669,212
  5. Step 5: Solve for x
    x = 27,259,349,534,669,212/75,486,925.69
  6. Step 6: Final answer
    x = 361,113,521.14

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.