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Finding the Third Proportional to 75,350,160 and 162,746,208

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Solution

The third proportional to 75,350,160 and 162,746,208 is: 351,509,913.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,350,160 : 162,746,208 = 162,746,208 : x
  2. Step 2: Convert to fraction form
    75,350,160/162,746,208 = 162,746,208/x
  3. Step 3: Cross multiply
    75,350,160x = 162,746,208 × 162,746,208
  4. Step 4: Simplify right side
    75,350,160x = 26,486,328,218,379,264
  5. Step 5: Solve for x
    x = 26,486,328,218,379,264/75,350,160
  6. Step 6: Final answer
    x = 351,509,913.43

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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.