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Finding the Third Proportional to 153,450,315 and 328,733,910

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Solution

The third proportional to 153,450,315 and 328,733,910 is: 704,240,871.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,450,315 : 328,733,910 = 328,733,910 : x
  2. Step 2: Convert to fraction form
    153,450,315/328,733,910 = 328,733,910/x
  3. Step 3: Cross multiply
    153,450,315x = 328,733,910 × 328,733,910
  4. Step 4: Simplify right side
    153,450,315x = 108,065,983,583,888,096
  5. Step 5: Solve for x
    x = 108,065,983,583,888,096/153,450,315
  6. Step 6: Final answer
    x = 704,240,871.61

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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.