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Finding the Third Proportional to 101,533,356 and 156,957,624

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Solution

The third proportional to 101,533,356 and 156,957,624 is: 242,636,476.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,533,356 : 156,957,624 = 156,957,624 : x
  2. Step 2: Convert to fraction form
    101,533,356/156,957,624 = 156,957,624/x
  3. Step 3: Cross multiply
    101,533,356x = 156,957,624 × 156,957,624
  4. Step 4: Simplify right side
    101,533,356x = 24,635,695,731,725,376
  5. Step 5: Solve for x
    x = 24,635,695,731,725,376/101,533,356
  6. Step 6: Final answer
    x = 242,636,476.35

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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.