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Finding the Third Proportional to 152,031,984 and 331,941,576

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Solution

The third proportional to 152,031,984 and 331,941,576 is: 724,750,193.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,031,984 : 331,941,576 = 331,941,576 : x
  2. Step 2: Convert to fraction form
    152,031,984/331,941,576 = 331,941,576/x
  3. Step 3: Cross multiply
    152,031,984x = 331,941,576 × 331,941,576
  4. Step 4: Simplify right side
    152,031,984x = 110,185,209,877,363,776
  5. Step 5: Solve for x
    x = 110,185,209,877,363,776/152,031,984
  6. Step 6: Final answer
    x = 724,750,193.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.