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Finding the Third Proportional to 51,745,648.50 and 105,011,869.50

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Solution

The third proportional to 51,745,648.50 and 105,011,869.50 is: 213,109,566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,745,648.50 : 105,011,869.50 = 105,011,869.50 : x
  2. Step 2: Convert to fraction form
    51,745,648.50/105,011,869.50 = 105,011,869.50/x
  3. Step 3: Cross multiply
    51,745,648.50x = 105,011,869.50 × 105,011,869.50
  4. Step 4: Simplify right side
    51,745,648.50x = 11,027,492,735,885,030
  5. Step 5: Solve for x
    x = 11,027,492,735,885,030/51,745,648.50
  6. Step 6: Final answer
    x = 213,109,566.81

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.