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Finding the Third Proportional to 173,328,804 and 269,248,590

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Solution

The third proportional to 173,328,804 and 269,248,590 is: 418,250,178.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,328,804 : 269,248,590 = 269,248,590 : x
  2. Step 2: Convert to fraction form
    173,328,804/269,248,590 = 269,248,590/x
  3. Step 3: Cross multiply
    173,328,804x = 269,248,590 × 269,248,590
  4. Step 4: Simplify right side
    173,328,804x = 72,494,803,216,988,096
  5. Step 5: Solve for x
    x = 72,494,803,216,988,096/173,328,804
  6. Step 6: Final answer
    x = 418,250,178.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.