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Finding the Third Proportional to 147,224,383.50 and 309,678,963

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Solution

The third proportional to 147,224,383.50 and 309,678,963 is: 651,393,864.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,224,383.50 : 309,678,963 = 309,678,963 : x
  2. Step 2: Convert to fraction form
    147,224,383.50/309,678,963 = 309,678,963/x
  3. Step 3: Cross multiply
    147,224,383.50x = 309,678,963 × 309,678,963
  4. Step 4: Simplify right side
    147,224,383.50x = 95,901,060,124,755,376
  5. Step 5: Solve for x
    x = 95,901,060,124,755,376/147,224,383.50
  6. Step 6: Final answer
    x = 651,393,864.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.