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Finding the Third Proportional to 89,013,600 and 190,802,304

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Solution

The third proportional to 89,013,600 and 190,802,304 is: 408,988,280.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,013,600 : 190,802,304 = 190,802,304 : x
  2. Step 2: Convert to fraction form
    89,013,600/190,802,304 = 190,802,304/x
  3. Step 3: Cross multiply
    89,013,600x = 190,802,304 × 190,802,304
  4. Step 4: Simplify right side
    89,013,600x = 36,405,519,211,708,416
  5. Step 5: Solve for x
    x = 36,405,519,211,708,416/89,013,600
  6. Step 6: Final answer
    x = 408,988,280.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.