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Finding the Third Proportional to 242,690,215.50 and 530,783,968.50

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Solution

The third proportional to 242,690,215.50 and 530,783,968.50 is: 1,160,869,302.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,690,215.50 : 530,783,968.50 = 530,783,968.50 : x
  2. Step 2: Convert to fraction form
    242,690,215.50/530,783,968.50 = 530,783,968.50/x
  3. Step 3: Cross multiply
    242,690,215.50x = 530,783,968.50 × 530,783,968.50
  4. Step 4: Simplify right side
    242,690,215.50x = 281,731,621,216,608,992
  5. Step 5: Solve for x
    x = 281,731,621,216,608,992/242,690,215.50
  6. Step 6: Final answer
    x = 1,160,869,302.61

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Why These Related Problems?

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