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Finding the Third Proportional to 72,188,089.50 and 155,881,711.50

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Solution

The third proportional to 72,188,089.50 and 155,881,711.50 is: 336,608,270.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,188,089.50 : 155,881,711.50 = 155,881,711.50 : x
  2. Step 2: Convert to fraction form
    72,188,089.50/155,881,711.50 = 155,881,711.50/x
  3. Step 3: Cross multiply
    72,188,089.50x = 155,881,711.50 × 155,881,711.50
  4. Step 4: Simplify right side
    72,188,089.50x = 24,299,107,980,169,232
  5. Step 5: Solve for x
    x = 24,299,107,980,169,232/72,188,089.50
  6. Step 6: Final answer
    x = 336,608,270.82

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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.