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Finding the Third Proportional to 73,574,900 and 156,114,664

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Solution

The third proportional to 73,574,900 and 156,114,664 is: 331,251,395.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,574,900 : 156,114,664 = 156,114,664 : x
  2. Step 2: Convert to fraction form
    73,574,900/156,114,664 = 156,114,664/x
  3. Step 3: Cross multiply
    73,574,900x = 156,114,664 × 156,114,664
  4. Step 4: Simplify right side
    73,574,900x = 24,371,788,315,832,896
  5. Step 5: Solve for x
    x = 24,371,788,315,832,896/73,574,900
  6. Step 6: Final answer
    x = 331,251,395.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.