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Finding the Third Proportional to 224,166,741 and 492,464,953.50

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Solution

The third proportional to 224,166,741 and 492,464,953.50 is: 1,081,880,966.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,166,741 : 492,464,953.50 = 492,464,953.50 : x
  2. Step 2: Convert to fraction form
    224,166,741/492,464,953.50 = 492,464,953.50/x
  3. Step 3: Cross multiply
    224,166,741x = 492,464,953.50 × 492,464,953.50
  4. Step 4: Simplify right side
    224,166,741x = 242,521,730,425,757,152
  5. Step 5: Solve for x
    x = 242,521,730,425,757,152/224,166,741
  6. Step 6: Final answer
    x = 1,081,880,966.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.