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Finding the Third Proportional to 178,724,309.50 and 385,677,443

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Solution

The third proportional to 178,724,309.50 and 385,677,443 is: 832,271,169.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,724,309.50 : 385,677,443 = 385,677,443 : x
  2. Step 2: Convert to fraction form
    178,724,309.50/385,677,443 = 385,677,443/x
  3. Step 3: Cross multiply
    178,724,309.50x = 385,677,443 × 385,677,443
  4. Step 4: Simplify right side
    178,724,309.50x = 148,747,090,039,018,240
  5. Step 5: Solve for x
    x = 148,747,090,039,018,240/178,724,309.50
  6. Step 6: Final answer
    x = 832,271,169.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.