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Finding the Third Proportional to 75,711,063.75 and 164,343,565.50

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Solution

The third proportional to 75,711,063.75 and 164,343,565.50 is: 356,735,279.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,711,063.75 : 164,343,565.50 = 164,343,565.50 : x
  2. Step 2: Convert to fraction form
    75,711,063.75/164,343,565.50 = 164,343,565.50/x
  3. Step 3: Cross multiply
    75,711,063.75x = 164,343,565.50 × 164,343,565.50
  4. Step 4: Simplify right side
    75,711,063.75x = 27,008,807,521,252,792
  5. Step 5: Solve for x
    x = 27,008,807,521,252,792/75,711,063.75
  6. Step 6: Final answer
    x = 356,735,279.94

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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.