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Finding the Third Proportional to 97,175,043 and 149,010,448.50

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Solution

The third proportional to 97,175,043 and 149,010,448.50 is: 228,496,052.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,175,043 : 149,010,448.50 = 149,010,448.50 : x
  2. Step 2: Convert to fraction form
    97,175,043/149,010,448.50 = 149,010,448.50/x
  3. Step 3: Cross multiply
    97,175,043x = 149,010,448.50 × 149,010,448.50
  4. Step 4: Simplify right side
    97,175,043x = 22,204,113,762,171,152
  5. Step 5: Solve for x
    x = 22,204,113,762,171,152/97,175,043
  6. Step 6: Final answer
    x = 228,496,052.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.