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Finding the Third Proportional to 75,711,240 and 164,343,924

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Solution

The third proportional to 75,711,240 and 164,343,924 is: 356,736,005.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,711,240 : 164,343,924 = 164,343,924 : x
  2. Step 2: Convert to fraction form
    75,711,240/164,343,924 = 164,343,924/x
  3. Step 3: Cross multiply
    75,711,240x = 164,343,924 × 164,343,924
  4. Step 4: Simplify right side
    75,711,240x = 27,008,925,355,717,776
  5. Step 5: Solve for x
    x = 27,008,925,355,717,776/75,711,240
  6. Step 6: Final answer
    x = 356,736,005.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.