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Finding the Third Proportional to 75,717,692 and 164,701,833

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Solution

The third proportional to 75,717,692 and 164,701,833 is: 358,260,970.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,717,692 : 164,701,833 = 164,701,833 : x
  2. Step 2: Convert to fraction form
    75,717,692/164,701,833 = 164,701,833/x
  3. Step 3: Cross multiply
    75,717,692x = 164,701,833 × 164,701,833
  4. Step 4: Simplify right side
    75,717,692x = 27,126,693,793,559,888
  5. Step 5: Solve for x
    x = 27,126,693,793,559,888/75,717,692
  6. Step 6: Final answer
    x = 358,260,970.15

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Why These Related Problems?

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