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Finding the Third Proportional to 38,871,880.50 and 89,990,784.56

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Solution

The third proportional to 38,871,880.50 and 89,990,784.56 is: 208,334,178.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,871,880.50 : 89,990,784.56 = 89,990,784.56 : x
  2. Step 2: Convert to fraction form
    38,871,880.50/89,990,784.56 = 89,990,784.56/x
  3. Step 3: Cross multiply
    38,871,880.50x = 89,990,784.56 × 89,990,784.56
  4. Step 4: Simplify right side
    38,871,880.50x = 8,098,341,306,174,288
  5. Step 5: Solve for x
    x = 8,098,341,306,174,288/38,871,880.50
  6. Step 6: Final answer
    x = 208,334,178.90

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.