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Finding the Third Proportional to 49,423,061.25 and 102,936,830.06

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Solution

The third proportional to 49,423,061.25 and 102,936,830.06 is: 214,393,659.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,423,061.25 : 102,936,830.06 = 102,936,830.06 : x
  2. Step 2: Convert to fraction form
    49,423,061.25/102,936,830.06 = 102,936,830.06/x
  3. Step 3: Cross multiply
    49,423,061.25x = 102,936,830.06 × 102,936,830.06
  4. Step 4: Simplify right side
    49,423,061.25x = 10,595,990,983,316,004
  5. Step 5: Solve for x
    x = 10,595,990,983,316,004/49,423,061.25
  6. Step 6: Final answer
    x = 214,393,659.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.