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Finding the Third Proportional to 90,810,304 and 201,776,000

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Solution

The third proportional to 90,810,304 and 201,776,000 is: 448,336,283.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,810,304 : 201,776,000 = 201,776,000 : x
  2. Step 2: Convert to fraction form
    90,810,304/201,776,000 = 201,776,000/x
  3. Step 3: Cross multiply
    90,810,304x = 201,776,000 × 201,776,000
  4. Step 4: Simplify right side
    90,810,304x = 40,713,554,176,000,000
  5. Step 5: Solve for x
    x = 40,713,554,176,000,000/90,810,304
  6. Step 6: Final answer
    x = 448,336,283.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.