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Finding the Third Proportional to 75,807,025 and 163,104,822

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Solution

The third proportional to 75,807,025 and 163,104,822 is: 350,932,950.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,807,025 : 163,104,822 = 163,104,822 : x
  2. Step 2: Convert to fraction form
    75,807,025/163,104,822 = 163,104,822/x
  3. Step 3: Cross multiply
    75,807,025x = 163,104,822 × 163,104,822
  4. Step 4: Simplify right side
    75,807,025x = 26,603,182,959,651,684
  5. Step 5: Solve for x
    x = 26,603,182,959,651,684/75,807,025
  6. Step 6: Final answer
    x = 350,932,950.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.