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Finding the Third Proportional to 178,569,091.69 and 364,312,603.13

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Solution

The third proportional to 178,569,091.69 and 364,312,603.13 is: 743,262,294.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,569,091.69 : 364,312,603.13 = 364,312,603.13 : x
  2. Step 2: Convert to fraction form
    178,569,091.69/364,312,603.13 = 364,312,603.13/x
  3. Step 3: Cross multiply
    178,569,091.69x = 364,312,603.13 × 364,312,603.13
  4. Step 4: Simplify right side
    178,569,091.69x = 132,723,672,795,713,760
  5. Step 5: Solve for x
    x = 132,723,672,795,713,760/178,569,091.69
  6. Step 6: Final answer
    x = 743,262,294.40

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.