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Finding the Third Proportional to 97,616,871 and 129,552,052.50

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Solution

The third proportional to 97,616,871 and 129,552,052.50 is: 171,934,770.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,616,871 : 129,552,052.50 = 129,552,052.50 : x
  2. Step 2: Convert to fraction form
    97,616,871/129,552,052.50 = 129,552,052.50/x
  3. Step 3: Cross multiply
    97,616,871x = 129,552,052.50 × 129,552,052.50
  4. Step 4: Simplify right side
    97,616,871x = 16,783,734,306,962,756
  5. Step 5: Solve for x
    x = 16,783,734,306,962,756/97,616,871
  6. Step 6: Final answer
    x = 171,934,770.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.