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Finding the Third Proportional to 147,224,384 and 309,678,964

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Solution

The third proportional to 147,224,384 and 309,678,964 is: 651,393,866.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,224,384 : 309,678,964 = 309,678,964 : x
  2. Step 2: Convert to fraction form
    147,224,384/309,678,964 = 309,678,964/x
  3. Step 3: Cross multiply
    147,224,384x = 309,678,964 × 309,678,964
  4. Step 4: Simplify right side
    147,224,384x = 95,901,060,744,113,296
  5. Step 5: Solve for x
    x = 95,901,060,744,113,296/147,224,384
  6. Step 6: Final answer
    x = 651,393,866.55

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