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Finding the Third Proportional to 156,333,148 and 208,420,473

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Solution

The third proportional to 156,333,148 and 208,420,473 is: 277,862,335.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,333,148 : 208,420,473 = 208,420,473 : x
  2. Step 2: Convert to fraction form
    156,333,148/208,420,473 = 208,420,473/x
  3. Step 3: Cross multiply
    156,333,148x = 208,420,473 × 208,420,473
  4. Step 4: Simplify right side
    156,333,148x = 43,439,093,565,543,728
  5. Step 5: Solve for x
    x = 43,439,093,565,543,728/156,333,148
  6. Step 6: Final answer
    x = 277,862,335.16

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.