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Finding the Third Proportional to 75,432,281,919.75 and 164,256,877,039.50

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Solution

The third proportional to 75,432,281,919.75 and 164,256,877,039.50 is: 357,676,063,458.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,432,281,919.75 : 164,256,877,039.50 = 164,256,877,039.50 : x
  2. Step 2: Convert to fraction form
    75,432,281,919.75/164,256,877,039.50 = 164,256,877,039.50/x
  3. Step 3: Cross multiply
    75,432,281,919.75x = 164,256,877,039.50 × 164,256,877,039.50
  4. Step 4: Simplify right side
    75,432,281,919.75x = 26,980,321,654,769,421,647,872
  5. Step 5: Solve for x
    x = 26,980,321,654,769,421,647,872/75,432,281,919.75
  6. Step 6: Final answer
    x = 357,676,063,458.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.