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Finding the Third Proportional to 101,470,428 and 156,868,812

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Solution

The third proportional to 101,470,428 and 156,868,812 is: 242,512,273.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,470,428 : 156,868,812 = 156,868,812 : x
  2. Step 2: Convert to fraction form
    101,470,428/156,868,812 = 156,868,812/x
  3. Step 3: Cross multiply
    101,470,428x = 156,868,812 × 156,868,812
  4. Step 4: Simplify right side
    101,470,428x = 24,607,824,178,291,344
  5. Step 5: Solve for x
    x = 24,607,824,178,291,344/101,470,428
  6. Step 6: Final answer
    x = 242,512,273.41

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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.