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Finding the Third Proportional to 130,008,864 and 288,049,396.50

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Solution

The third proportional to 130,008,864 and 288,049,396.50 is: 638,206,136.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,008,864 : 288,049,396.50 = 288,049,396.50 : x
  2. Step 2: Convert to fraction form
    130,008,864/288,049,396.50 = 288,049,396.50/x
  3. Step 3: Cross multiply
    130,008,864x = 288,049,396.50 × 288,049,396.50
  4. Step 4: Simplify right side
    130,008,864x = 82,972,454,824,014,208
  5. Step 5: Solve for x
    x = 82,972,454,824,014,208/130,008,864
  6. Step 6: Final answer
    x = 638,206,136.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.