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Finding the Third Proportional to 78,639,782.25 and 172,396,108.50

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Solution

The third proportional to 78,639,782.25 and 172,396,108.50 is: 377,931,084.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,639,782.25 : 172,396,108.50 = 172,396,108.50 : x
  2. Step 2: Convert to fraction form
    78,639,782.25/172,396,108.50 = 172,396,108.50/x
  3. Step 3: Cross multiply
    78,639,782.25x = 172,396,108.50 × 172,396,108.50
  4. Step 4: Simplify right side
    78,639,782.25x = 29,720,418,225,943,772
  5. Step 5: Solve for x
    x = 29,720,418,225,943,772/78,639,782.25
  6. Step 6: Final answer
    x = 377,931,084.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.