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Finding the Third Proportional to 49,559,620.50 and 106,293,492

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Solution

The third proportional to 49,559,620.50 and 106,293,492 is: 227,974,030.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,559,620.50 : 106,293,492 = 106,293,492 : x
  2. Step 2: Convert to fraction form
    49,559,620.50/106,293,492 = 106,293,492/x
  3. Step 3: Cross multiply
    49,559,620.50x = 106,293,492 × 106,293,492
  4. Step 4: Simplify right side
    49,559,620.50x = 11,298,306,441,554,064
  5. Step 5: Solve for x
    x = 11,298,306,441,554,064/49,559,620.50
  6. Step 6: Final answer
    x = 227,974,030.62

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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.