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Finding the Third Proportional to 49,559,623.50 and 106,293,498

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Solution

The third proportional to 49,559,623.50 and 106,293,498 is: 227,974,042.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,559,623.50 : 106,293,498 = 106,293,498 : x
  2. Step 2: Convert to fraction form
    49,559,623.50/106,293,498 = 106,293,498/x
  3. Step 3: Cross multiply
    49,559,623.50x = 106,293,498 × 106,293,498
  4. Step 4: Simplify right side
    49,559,623.50x = 11,298,307,717,076,004
  5. Step 5: Solve for x
    x = 11,298,307,717,076,004/49,559,623.50
  6. Step 6: Final answer
    x = 227,974,042.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.