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Finding the Third Proportional to 66,834,072 and 106,346,150.50

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Solution

The third proportional to 66,834,072 and 106,346,150.50 is: 169,217,636.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,834,072 : 106,346,150.50 = 106,346,150.50 : x
  2. Step 2: Convert to fraction form
    66,834,072/106,346,150.50 = 106,346,150.50/x
  3. Step 3: Cross multiply
    66,834,072x = 106,346,150.50 × 106,346,150.50
  4. Step 4: Simplify right side
    66,834,072x = 11,309,503,726,168,650
  5. Step 5: Solve for x
    x = 11,309,503,726,168,650/66,834,072
  6. Step 6: Final answer
    x = 169,217,636.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.