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Finding the Third Proportional to 178,739,953.50 and 385,696,036.50

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Solution

The third proportional to 178,739,953.50 and 385,696,036.50 is: 832,278,568.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,739,953.50 : 385,696,036.50 = 385,696,036.50 : x
  2. Step 2: Convert to fraction form
    178,739,953.50/385,696,036.50 = 385,696,036.50/x
  3. Step 3: Cross multiply
    178,739,953.50x = 385,696,036.50 × 385,696,036.50
  4. Step 4: Simplify right side
    178,739,953.50x = 148,761,432,571,809,344
  5. Step 5: Solve for x
    x = 148,761,432,571,809,344/178,739,953.50
  6. Step 6: Final answer
    x = 832,278,568.16

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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.