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Finding the Third Proportional to 44,080,084.50 and 102,934,414.50

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Solution

The third proportional to 44,080,084.50 and 102,934,414.50 is: 240,369,178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,080,084.50 : 102,934,414.50 = 102,934,414.50 : x
  2. Step 2: Convert to fraction form
    44,080,084.50/102,934,414.50 = 102,934,414.50/x
  3. Step 3: Cross multiply
    44,080,084.50x = 102,934,414.50 × 102,934,414.50
  4. Step 4: Simplify right side
    44,080,084.50x = 10,595,493,688,457,810
  5. Step 5: Solve for x
    x = 10,595,493,688,457,810/44,080,084.50
  6. Step 6: Final answer
    x = 240,369,178.25

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.