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Finding the Third Proportional to 77,264,972 and 165,746,208

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Solution

The third proportional to 77,264,972 and 165,746,208 is: 355,553,166.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,264,972 : 165,746,208 = 165,746,208 : x
  2. Step 2: Convert to fraction form
    77,264,972/165,746,208 = 165,746,208/x
  3. Step 3: Cross multiply
    77,264,972x = 165,746,208 × 165,746,208
  4. Step 4: Simplify right side
    77,264,972x = 27,471,805,466,379,264
  5. Step 5: Solve for x
    x = 27,471,805,466,379,264/77,264,972
  6. Step 6: Final answer
    x = 355,553,166.66

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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.