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Finding the Third Proportional to 75,812,664 and 163,730,130

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Solution

The third proportional to 75,812,664 and 163,730,130 is: 353,602,604.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,812,664 : 163,730,130 = 163,730,130 : x
  2. Step 2: Convert to fraction form
    75,812,664/163,730,130 = 163,730,130/x
  3. Step 3: Cross multiply
    75,812,664x = 163,730,130 × 163,730,130
  4. Step 4: Simplify right side
    75,812,664x = 26,807,555,469,816,900
  5. Step 5: Solve for x
    x = 26,807,555,469,816,900/75,812,664
  6. Step 6: Final answer
    x = 353,602,604.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.