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Finding the Third Proportional to 78,953,950.13 and 176,062,096.13

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Solution

The third proportional to 78,953,950.13 and 176,062,096.13 is: 392,606,850.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,953,950.13 : 176,062,096.13 = 176,062,096.13 : x
  2. Step 2: Convert to fraction form
    78,953,950.13/176,062,096.13 = 176,062,096.13/x
  3. Step 3: Cross multiply
    78,953,950.13x = 176,062,096.13 × 176,062,096.13
  4. Step 4: Simplify right side
    78,953,950.13x = 30,997,861,691,928,740
  5. Step 5: Solve for x
    x = 30,997,861,691,928,740/78,953,950.13
  6. Step 6: Final answer
    x = 392,606,850.49

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.