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Finding the Third Proportional to 152,610,184 and 330,554,576

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Solution

The third proportional to 152,610,184 and 330,554,576 is: 715,983,198.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,610,184 : 330,554,576 = 330,554,576 : x
  2. Step 2: Convert to fraction form
    152,610,184/330,554,576 = 330,554,576/x
  3. Step 3: Cross multiply
    152,610,184x = 330,554,576 × 330,554,576
  4. Step 4: Simplify right side
    152,610,184x = 109,266,327,714,539,776
  5. Step 5: Solve for x
    x = 109,266,327,714,539,776/152,610,184
  6. Step 6: Final answer
    x = 715,983,198.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.